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Simplifying 3(x + 4) = 5(x + -4) Reorder the terms: 3(4 + x) = 5(x + -4) (4 * 3 + x * 3) = 5(x + -4) (12 + 3x) = 5(x + -4) Reorder the terms: 12 + 3x = 5(-4 + x) 12 + 3x = (-4 * 5 + x * 5) 12 + 3x = (-20 + 5x) Solving 12 + 3x = -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. 12 + 3x + -5x = -20 + 5x + -5x Combine like terms: 3x + -5x = -2x 12 + -2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -2x = -20 + 0 12 + -2x = -20 Add '-12' to each side of the equation. 12 + -12 + -2x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -20 + -12 -2x = -20 + -12 Combine like terms: -20 + -12 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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