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Simplifying 276 + 18x = [(16x + 17) + (15x + -11)] * 2 Reorder the terms: 276 + 18x = [(17 + 16x) + (15x + -11)] * 2 Remove parenthesis around (17 + 16x) 276 + 18x = [17 + 16x + (15x + -11)] * 2 Reorder the terms: 276 + 18x = [17 + 16x + (-11 + 15x)] * 2 Remove parenthesis around (-11 + 15x) 276 + 18x = [17 + 16x + -11 + 15x] * 2 Reorder the terms: 276 + 18x = [17 + -11 + 16x + 15x] * 2 Combine like terms: 17 + -11 = 6 276 + 18x = [6 + 16x + 15x] * 2 Combine like terms: 16x + 15x = 31x 276 + 18x = [6 + 31x] * 2 Reorder the terms for easier multiplication: 276 + 18x = 2[6 + 31x] 276 + 18x = [6 * 2 + 31x * 2] 276 + 18x = [12 + 62x] Solving 276 + 18x = 12 + 62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62x' to each side of the equation. 276 + 18x + -62x = 12 + 62x + -62x Combine like terms: 18x + -62x = -44x 276 + -44x = 12 + 62x + -62x Combine like terms: 62x + -62x = 0 276 + -44x = 12 + 0 276 + -44x = 12 Add '-276' to each side of the equation. 276 + -276 + -44x = 12 + -276 Combine like terms: 276 + -276 = 0 0 + -44x = 12 + -276 -44x = 12 + -276 Combine like terms: 12 + -276 = -264 -44x = -264 Divide each side by '-44'. x = 6 Simplifying x = 6
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