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Simplifying 3(3x + -7) + 6x + -10 + 6(4x + -8) + -3(x + -5) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Reorder the terms: 3(-7 + 3x) + 6x + -10 + 6(4x + -8) + -3(x + -5) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 (-7 * 3 + 3x * 3) + 6x + -10 + 6(4x + -8) + -3(x + -5) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 (-21 + 9x) + 6x + -10 + 6(4x + -8) + -3(x + -5) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Reorder the terms: -21 + 9x + 6x + -10 + 6(-8 + 4x) + -3(x + -5) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 -21 + 9x + 6x + -10 + (-8 * 6 + 4x * 6) + -3(x + -5) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 -21 + 9x + 6x + -10 + (-48 + 24x) + -3(x + -5) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Reorder the terms: -21 + 9x + 6x + -10 + -48 + 24x + -3(-5 + x) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 -21 + 9x + 6x + -10 + -48 + 24x + (-5 * -3 + x * -3) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 -21 + 9x + 6x + -10 + -48 + 24x + (15 + -3x) = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Reorder the terms: -21 + -10 + -48 + 15 + 9x + 6x + 24x + -3x = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Combine like terms: -21 + -10 = -31 -31 + -48 + 15 + 9x + 6x + 24x + -3x = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Combine like terms: -31 + -48 = -79 -79 + 15 + 9x + 6x + 24x + -3x = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Combine like terms: -79 + 15 = -64 -64 + 9x + 6x + 24x + -3x = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Combine like terms: 9x + 6x = 15x -64 + 15x + 24x + -3x = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Combine like terms: 15x + 24x = 39x -64 + 39x + -3x = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Combine like terms: 39x + -3x = 36x -64 + 36x = 13 + -4(3x + 10) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 Reorder the terms: -64 + 36x = 13 + -4(10 + 3x) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 -64 + 36x = 13 + (10 * -4 + 3x * -4) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 -64 + 36x = 13 + (-40 + -12x) + 5(4 + -7x) + -2(5x + -3) + 12x + 5 -64 + 36x = 13 + -40 + -12x + (4 * 5 + -7x * 5) + -2(5x + -3) + 12x + 5 -64 + 36x = 13 + -40 + -12x + (20 + -35x) + -2(5x + -3) + 12x + 5 Reorder the terms: -64 + 36x = 13 + -40 + -12x + 20 + -35x + -2(-3 + 5x) + 12x + 5 -64 + 36x = 13 + -40 + -12x + 20 + -35x + (-3 * -2 + 5x * -2) + 12x + 5 -64 + 36x = 13 + -40 + -12x + 20 + -35x + (6 + -10x) + 12x + 5 Reorder the terms: -64 + 36x = 13 + -40 + 20 + 6 + 5 + -12x + -35x + -10x + 12x Combine like terms: 13 + -40 = -27 -64 + 36x = -27 + 20 + 6 + 5 + -12x + -35x + -10x + 12x Combine like terms: -27 + 20 = -7 -64 + 36x = -7 + 6 + 5 + -12x + -35x + -10x + 12x Combine like terms: -7 + 6 = -1 -64 + 36x = -1 + 5 + -12x + -35x + -10x + 12x Combine like terms: -1 + 5 = 4 -64 + 36x = 4 + -12x + -35x + -10x + 12x Combine like terms: -12x + -35x = -47x -64 + 36x = 4 + -47x + -10x + 12x Combine like terms: -47x + -10x = -57x -64 + 36x = 4 + -57x + 12x Combine like terms: -57x + 12x = -45x -64 + 36x = 4 + -45x Solving -64 + 36x = 4 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -64 + 36x + 45x = 4 + -45x + 45x Combine like terms: 36x + 45x = 81x -64 + 81x = 4 + -45x + 45x Combine like terms: -45x + 45x = 0 -64 + 81x = 4 + 0 -64 + 81x = 4 Add '64' to each side of the equation. -64 + 64 + 81x = 4 + 64 Combine like terms: -64 + 64 = 0 0 + 81x = 4 + 64 81x = 4 + 64 Combine like terms: 4 + 64 = 68 81x = 68 Divide each side by '81'. x = 0.8395061728 Simplifying x = 0.8395061728
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