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