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Simplifying 102 + 16x = 2(17x + 12) + 2(17x + -13) Reorder the terms: 102 + 16x = 2(12 + 17x) + 2(17x + -13) 102 + 16x = (12 * 2 + 17x * 2) + 2(17x + -13) 102 + 16x = (24 + 34x) + 2(17x + -13) Reorder the terms: 102 + 16x = 24 + 34x + 2(-13 + 17x) 102 + 16x = 24 + 34x + (-13 * 2 + 17x * 2) 102 + 16x = 24 + 34x + (-26 + 34x) Reorder the terms: 102 + 16x = 24 + -26 + 34x + 34x Combine like terms: 24 + -26 = -2 102 + 16x = -2 + 34x + 34x Combine like terms: 34x + 34x = 68x 102 + 16x = -2 + 68x Solving 102 + 16x = -2 + 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. 102 + 16x + -68x = -2 + 68x + -68x Combine like terms: 16x + -68x = -52x 102 + -52x = -2 + 68x + -68x Combine like terms: 68x + -68x = 0 102 + -52x = -2 + 0 102 + -52x = -2 Add '-102' to each side of the equation. 102 + -102 + -52x = -2 + -102 Combine like terms: 102 + -102 = 0 0 + -52x = -2 + -102 -52x = -2 + -102 Combine like terms: -2 + -102 = -104 -52x = -104 Divide each side by '-52'. x = 2 Simplifying x = 2
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