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Simplifying 13 + 4(2x + -1) = 5(x + 12) Reorder the terms: 13 + 4(-1 + 2x) = 5(x + 12) 13 + (-1 * 4 + 2x * 4) = 5(x + 12) 13 + (-4 + 8x) = 5(x + 12) Combine like terms: 13 + -4 = 9 9 + 8x = 5(x + 12) Reorder the terms: 9 + 8x = 5(12 + x) 9 + 8x = (12 * 5 + x * 5) 9 + 8x = (60 + 5x) Solving 9 + 8x = 60 + 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. 9 + 8x + -5x = 60 + 5x + -5x Combine like terms: 8x + -5x = 3x 9 + 3x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 3x = 60 + 0 9 + 3x = 60 Add '-9' to each side of the equation. 9 + -9 + 3x = 60 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 60 + -9 3x = 60 + -9 Combine like terms: 60 + -9 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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