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Simplifying 3(x + -4) + -2(x + -2) = 5(x + -4) Reorder the terms: 3(-4 + x) + -2(x + -2) = 5(x + -4) (-4 * 3 + x * 3) + -2(x + -2) = 5(x + -4) (-12 + 3x) + -2(x + -2) = 5(x + -4) Reorder the terms: -12 + 3x + -2(-2 + x) = 5(x + -4) -12 + 3x + (-2 * -2 + x * -2) = 5(x + -4) -12 + 3x + (4 + -2x) = 5(x + -4) Reorder the terms: -12 + 4 + 3x + -2x = 5(x + -4) Combine like terms: -12 + 4 = -8 -8 + 3x + -2x = 5(x + -4) Combine like terms: 3x + -2x = 1x -8 + 1x = 5(x + -4) Reorder the terms: -8 + 1x = 5(-4 + x) -8 + 1x = (-4 * 5 + x * 5) -8 + 1x = (-20 + 5x) Solving -8 + 1x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 1x + -5x = -20 + 5x + -5x Combine like terms: 1x + -5x = -4x -8 + -4x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -4x = -20 + 0 -8 + -4x = -20 Add '8' to each side of the equation. -8 + 8 + -4x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -20 + 8 -4x = -20 + 8 Combine like terms: -20 + 8 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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