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Simplifying 3(x + -4) + -5(2x + -3) = -2(3x + -5) Reorder the terms: 3(-4 + x) + -5(2x + -3) = -2(3x + -5) (-4 * 3 + x * 3) + -5(2x + -3) = -2(3x + -5) (-12 + 3x) + -5(2x + -3) = -2(3x + -5) Reorder the terms: -12 + 3x + -5(-3 + 2x) = -2(3x + -5) -12 + 3x + (-3 * -5 + 2x * -5) = -2(3x + -5) -12 + 3x + (15 + -10x) = -2(3x + -5) Reorder the terms: -12 + 15 + 3x + -10x = -2(3x + -5) Combine like terms: -12 + 15 = 3 3 + 3x + -10x = -2(3x + -5) Combine like terms: 3x + -10x = -7x 3 + -7x = -2(3x + -5) Reorder the terms: 3 + -7x = -2(-5 + 3x) 3 + -7x = (-5 * -2 + 3x * -2) 3 + -7x = (10 + -6x) Solving 3 + -7x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + -7x + 6x = 10 + -6x + 6x Combine like terms: -7x + 6x = -1x 3 + -1x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + -1x = 10 + 0 3 + -1x = 10 Add '-3' to each side of the equation. 3 + -3 + -1x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 10 + -3 -1x = 10 + -3 Combine like terms: 10 + -3 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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