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Simplifying 3(x + 12) = 5(x + 4) Reorder the terms: 3(12 + x) = 5(x + 4) (12 * 3 + x * 3) = 5(x + 4) (36 + 3x) = 5(x + 4) Reorder the terms: 36 + 3x = 5(4 + x) 36 + 3x = (4 * 5 + x * 5) 36 + 3x = (20 + 5x) Solving 36 + 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. 36 + 3x + -5x = 20 + 5x + -5x Combine like terms: 3x + -5x = -2x 36 + -2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + -2x = 20 + 0 36 + -2x = 20 Add '-36' to each side of the equation. 36 + -36 + -2x = 20 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 20 + -36 -2x = 20 + -36 Combine like terms: 20 + -36 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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