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Simplifying 5 + -4(x + 3) = 2x + 5(3x + -8) + -3(1 + -6x) Reorder the terms: 5 + -4(3 + x) = 2x + 5(3x + -8) + -3(1 + -6x) 5 + (3 * -4 + x * -4) = 2x + 5(3x + -8) + -3(1 + -6x) 5 + (-12 + -4x) = 2x + 5(3x + -8) + -3(1 + -6x) Combine like terms: 5 + -12 = -7 -7 + -4x = 2x + 5(3x + -8) + -3(1 + -6x) Reorder the terms: -7 + -4x = 2x + 5(-8 + 3x) + -3(1 + -6x) -7 + -4x = 2x + (-8 * 5 + 3x * 5) + -3(1 + -6x) -7 + -4x = 2x + (-40 + 15x) + -3(1 + -6x) -7 + -4x = 2x + -40 + 15x + (1 * -3 + -6x * -3) -7 + -4x = 2x + -40 + 15x + (-3 + 18x) Reorder the terms: -7 + -4x = -40 + -3 + 2x + 15x + 18x Combine like terms: -40 + -3 = -43 -7 + -4x = -43 + 2x + 15x + 18x Combine like terms: 2x + 15x = 17x -7 + -4x = -43 + 17x + 18x Combine like terms: 17x + 18x = 35x -7 + -4x = -43 + 35x Solving -7 + -4x = -43 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -7 + -4x + -35x = -43 + 35x + -35x Combine like terms: -4x + -35x = -39x -7 + -39x = -43 + 35x + -35x Combine like terms: 35x + -35x = 0 -7 + -39x = -43 + 0 -7 + -39x = -43 Add '7' to each side of the equation. -7 + 7 + -39x = -43 + 7 Combine like terms: -7 + 7 = 0 0 + -39x = -43 + 7 -39x = -43 + 7 Combine like terms: -43 + 7 = -36 -39x = -36 Divide each side by '-39'. x = 0.9230769231 Simplifying x = 0.9230769231
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