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Simplifying 5(3x + -8) + 3(7x + -6) = 6(8x + 3) + -4(2x + 5) Reorder the terms: 5(-8 + 3x) + 3(7x + -6) = 6(8x + 3) + -4(2x + 5) (-8 * 5 + 3x * 5) + 3(7x + -6) = 6(8x + 3) + -4(2x + 5) (-40 + 15x) + 3(7x + -6) = 6(8x + 3) + -4(2x + 5) Reorder the terms: -40 + 15x + 3(-6 + 7x) = 6(8x + 3) + -4(2x + 5) -40 + 15x + (-6 * 3 + 7x * 3) = 6(8x + 3) + -4(2x + 5) -40 + 15x + (-18 + 21x) = 6(8x + 3) + -4(2x + 5) Reorder the terms: -40 + -18 + 15x + 21x = 6(8x + 3) + -4(2x + 5) Combine like terms: -40 + -18 = -58 -58 + 15x + 21x = 6(8x + 3) + -4(2x + 5) Combine like terms: 15x + 21x = 36x -58 + 36x = 6(8x + 3) + -4(2x + 5) Reorder the terms: -58 + 36x = 6(3 + 8x) + -4(2x + 5) -58 + 36x = (3 * 6 + 8x * 6) + -4(2x + 5) -58 + 36x = (18 + 48x) + -4(2x + 5) Reorder the terms: -58 + 36x = 18 + 48x + -4(5 + 2x) -58 + 36x = 18 + 48x + (5 * -4 + 2x * -4) -58 + 36x = 18 + 48x + (-20 + -8x) Reorder the terms: -58 + 36x = 18 + -20 + 48x + -8x Combine like terms: 18 + -20 = -2 -58 + 36x = -2 + 48x + -8x Combine like terms: 48x + -8x = 40x -58 + 36x = -2 + 40x Solving -58 + 36x = -2 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -58 + 36x + -40x = -2 + 40x + -40x Combine like terms: 36x + -40x = -4x -58 + -4x = -2 + 40x + -40x Combine like terms: 40x + -40x = 0 -58 + -4x = -2 + 0 -58 + -4x = -2 Add '58' to each side of the equation. -58 + 58 + -4x = -2 + 58 Combine like terms: -58 + 58 = 0 0 + -4x = -2 + 58 -4x = -2 + 58 Combine like terms: -2 + 58 = 56 -4x = 56 Divide each side by '-4'. x = -14 Simplifying x = -14
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