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