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Simplifying 18 + -1(5x + 1) = 12x Reorder the terms: 18 + -1(1 + 5x) = 12x 18 + (1 * -1 + 5x * -1) = 12x 18 + (-1 + -5x) = 12x Combine like terms: 18 + -1 = 17 17 + -5x = 12x Solving 17 + -5x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 17 + -5x + -12x = 12x + -12x Combine like terms: -5x + -12x = -17x 17 + -17x = 12x + -12x Combine like terms: 12x + -12x = 0 17 + -17x = 0 Add '-17' to each side of the equation. 17 + -17 + -17x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -17x = 0 + -17 -17x = 0 + -17 Combine like terms: 0 + -17 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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