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Simplifying 3(2x + 4) = 5(x + -4) Reorder the terms: 3(4 + 2x) = 5(x + -4) (4 * 3 + 2x * 3) = 5(x + -4) (12 + 6x) = 5(x + -4) Reorder the terms: 12 + 6x = 5(-4 + x) 12 + 6x = (-4 * 5 + x * 5) 12 + 6x = (-20 + 5x) Solving 12 + 6x = -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 + 6x + -5x = -20 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = -20 + 0 12 + 1x = -20 Add '-12' to each side of the equation. 12 + -12 + 1x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -20 + -12 1x = -20 + -12 Combine like terms: -20 + -12 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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