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Simplifying 12x + -1(3 + -1x) = 7(5x + -1) + -18x 12x + (3 * -1 + -1x * -1) = 7(5x + -1) + -18x 12x + (-3 + 1x) = 7(5x + -1) + -18x Reorder the terms: -3 + 12x + 1x = 7(5x + -1) + -18x Combine like terms: 12x + 1x = 13x -3 + 13x = 7(5x + -1) + -18x Reorder the terms: -3 + 13x = 7(-1 + 5x) + -18x -3 + 13x = (-1 * 7 + 5x * 7) + -18x -3 + 13x = (-7 + 35x) + -18x Combine like terms: 35x + -18x = 17x -3 + 13x = -7 + 17x Solving -3 + 13x = -7 + 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. -3 + 13x + -17x = -7 + 17x + -17x Combine like terms: 13x + -17x = -4x -3 + -4x = -7 + 17x + -17x Combine like terms: 17x + -17x = 0 -3 + -4x = -7 + 0 -3 + -4x = -7 Add '3' to each side of the equation. -3 + 3 + -4x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -7 + 3 -4x = -7 + 3 Combine like terms: -7 + 3 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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