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Simplifying 2(2x + -1x + 1) + 1 = -1x + 2x + -1x + 18 Reorder the terms: 2(1 + 2x + -1x) + 1 = -1x + 2x + -1x + 18 Combine like terms: 2x + -1x = 1x 2(1 + 1x) + 1 = -1x + 2x + -1x + 18 (1 * 2 + 1x * 2) + 1 = -1x + 2x + -1x + 18 (2 + 2x) + 1 = -1x + 2x + -1x + 18 Reorder the terms: 2 + 1 + 2x = -1x + 2x + -1x + 18 Combine like terms: 2 + 1 = 3 3 + 2x = -1x + 2x + -1x + 18 Reorder the terms: 3 + 2x = 18 + -1x + 2x + -1x Combine like terms: -1x + 2x = 1x 3 + 2x = 18 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 2x = 18 + 0 3 + 2x = 18 Solving 3 + 2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 18 + -3 2x = 18 + -3 Combine like terms: 18 + -3 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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