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Simplifying 24(x + -1) = 17(x + -1) Reorder the terms: 24(-1 + x) = 17(x + -1) (-1 * 24 + x * 24) = 17(x + -1) (-24 + 24x) = 17(x + -1) Reorder the terms: -24 + 24x = 17(-1 + x) -24 + 24x = (-1 * 17 + x * 17) -24 + 24x = (-17 + 17x) Solving -24 + 24x = -17 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -24 + 24x + -17x = -17 + 17x + -17x Combine like terms: 24x + -17x = 7x -24 + 7x = -17 + 17x + -17x Combine like terms: 17x + -17x = 0 -24 + 7x = -17 + 0 -24 + 7x = -17 Add '24' to each side of the equation. -24 + 24 + 7x = -17 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = -17 + 24 7x = -17 + 24 Combine like terms: -17 + 24 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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