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Simplifying 2(x + -9) + 5 = 42 + x Reorder the terms: 2(-9 + x) + 5 = 42 + x (-9 * 2 + x * 2) + 5 = 42 + x (-18 + 2x) + 5 = 42 + x Reorder the terms: -18 + 5 + 2x = 42 + x Combine like terms: -18 + 5 = -13 -13 + 2x = 42 + x Solving -13 + 2x = 42 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 2x + -1x = 42 + x + -1x Combine like terms: 2x + -1x = 1x -13 + 1x = 42 + x + -1x Combine like terms: x + -1x = 0 -13 + 1x = 42 + 0 -13 + 1x = 42 Add '13' to each side of the equation. -13 + 13 + 1x = 42 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 42 + 13 1x = 42 + 13 Combine like terms: 42 + 13 = 55 1x = 55 Divide each side by '1'. x = 55 Simplifying x = 55
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