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Simplifying 2(x + 2) + 24 = 2(13 + -1x) + 2x Reorder the terms: 2(2 + x) + 24 = 2(13 + -1x) + 2x (2 * 2 + x * 2) + 24 = 2(13 + -1x) + 2x (4 + 2x) + 24 = 2(13 + -1x) + 2x Reorder the terms: 4 + 24 + 2x = 2(13 + -1x) + 2x Combine like terms: 4 + 24 = 28 28 + 2x = 2(13 + -1x) + 2x 28 + 2x = (13 * 2 + -1x * 2) + 2x 28 + 2x = (26 + -2x) + 2x Combine like terms: -2x + 2x = 0 28 + 2x = 26 + 0 28 + 2x = 26 Solving 28 + 2x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 2x = 26 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 26 + -28 2x = 26 + -28 Combine like terms: 26 + -28 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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