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Simplifying x + -18 = 2x + 3(24 + -1x) Reorder the terms: -18 + x = 2x + 3(24 + -1x) -18 + x = 2x + (24 * 3 + -1x * 3) -18 + x = 2x + (72 + -3x) Reorder the terms: -18 + x = 72 + 2x + -3x Combine like terms: 2x + -3x = -1x -18 + x = 72 + -1x Solving -18 + x = 72 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -18 + x + x = 72 + -1x + x Combine like terms: x + x = 2x -18 + 2x = 72 + -1x + x Combine like terms: -1x + x = 0 -18 + 2x = 72 + 0 -18 + 2x = 72 Add '18' to each side of the equation. -18 + 18 + 2x = 72 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 72 + 18 2x = 72 + 18 Combine like terms: 72 + 18 = 90 2x = 90 Divide each side by '2'. x = 45 Simplifying x = 45
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