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Simplifying -5(x + 4) = 3(x + -4) Reorder the terms: -5(4 + x) = 3(x + -4) (4 * -5 + x * -5) = 3(x + -4) (-20 + -5x) = 3(x + -4) Reorder the terms: -20 + -5x = 3(-4 + x) -20 + -5x = (-4 * 3 + x * 3) -20 + -5x = (-12 + 3x) Solving -20 + -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. -20 + -5x + -3x = -12 + 3x + -3x Combine like terms: -5x + -3x = -8x -20 + -8x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + -8x = -12 + 0 -20 + -8x = -12 Add '20' to each side of the equation. -20 + 20 + -8x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = -12 + 20 -8x = -12 + 20 Combine like terms: -12 + 20 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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