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Simplifying 5 = 24 + -1(x + 36 + -18x) Reorder the terms: 5 = 24 + -1(36 + x + -18x) Combine like terms: x + -18x = -17x 5 = 24 + -1(36 + -17x) 5 = 24 + (36 * -1 + -17x * -1) 5 = 24 + (-36 + 17x) Combine like terms: 24 + -36 = -12 5 = -12 + 17x Solving 5 = -12 + 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. 5 + -17x = -12 + 17x + -17x Combine like terms: 17x + -17x = 0 5 + -17x = -12 + 0 5 + -17x = -12 Add '-5' to each side of the equation. 5 + -5 + -17x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -17x = -12 + -5 -17x = -12 + -5 Combine like terms: -12 + -5 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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