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Simplifying 13x + 4(5 + -2x) = 3(x + 12) 13x + (5 * 4 + -2x * 4) = 3(x + 12) 13x + (20 + -8x) = 3(x + 12) Reorder the terms: 20 + 13x + -8x = 3(x + 12) Combine like terms: 13x + -8x = 5x 20 + 5x = 3(x + 12) Reorder the terms: 20 + 5x = 3(12 + x) 20 + 5x = (12 * 3 + x * 3) 20 + 5x = (36 + 3x) Solving 20 + 5x = 36 + 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 = 36 + 3x + -3x Combine like terms: 5x + -3x = 2x 20 + 2x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 2x = 36 + 0 20 + 2x = 36 Add '-20' to each side of the equation. 20 + -20 + 2x = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 36 + -20 2x = 36 + -20 Combine like terms: 36 + -20 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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