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Simplifying 2(x + 14) = 5(x + 4) + 59 Reorder the terms: 2(14 + x) = 5(x + 4) + 59 (14 * 2 + x * 2) = 5(x + 4) + 59 (28 + 2x) = 5(x + 4) + 59 Reorder the terms: 28 + 2x = 5(4 + x) + 59 28 + 2x = (4 * 5 + x * 5) + 59 28 + 2x = (20 + 5x) + 59 Reorder the terms: 28 + 2x = 20 + 59 + 5x Combine like terms: 20 + 59 = 79 28 + 2x = 79 + 5x Solving 28 + 2x = 79 + 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. 28 + 2x + -5x = 79 + 5x + -5x Combine like terms: 2x + -5x = -3x 28 + -3x = 79 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + -3x = 79 + 0 28 + -3x = 79 Add '-28' to each side of the equation. 28 + -28 + -3x = 79 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 79 + -28 -3x = 79 + -28 Combine like terms: 79 + -28 = 51 -3x = 51 Divide each side by '-3'. x = -17 Simplifying x = -17
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