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Simplifying -5(x + -2) = 3(x + -4) Reorder the terms: -5(-2 + x) = 3(x + -4) (-2 * -5 + x * -5) = 3(x + -4) (10 + -5x) = 3(x + -4) Reorder the terms: 10 + -5x = 3(-4 + x) 10 + -5x = (-4 * 3 + x * 3) 10 + -5x = (-12 + 3x) Solving 10 + -5x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -5x + -3x = -12 + 3x + -3x Combine like terms: -5x + -3x = -8x 10 + -8x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -8x = -12 + 0 10 + -8x = -12 Add '-10' to each side of the equation. 10 + -10 + -8x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -12 + -10 -8x = -12 + -10 Combine like terms: -12 + -10 = -22 -8x = -22 Divide each side by '-8'. x = 2.75 Simplifying x = 2.75
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