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Simplifying 12x + 4 + -1[(3 + -1x) + -1(5x + 7)] = 13 Remove parenthesis around (3 + -1x) 12x + 4 + -1[3 + -1x + -1(5x + 7)] = 13 Reorder the terms: 12x + 4 + -1[3 + -1x + -1(7 + 5x)] = 13 12x + 4 + -1[3 + -1x + (7 * -1 + 5x * -1)] = 13 12x + 4 + -1[3 + -1x + (-7 + -5x)] = 13 Reorder the terms: 12x + 4 + -1[3 + -7 + -1x + -5x] = 13 Combine like terms: 3 + -7 = -4 12x + 4 + -1[-4 + -1x + -5x] = 13 Combine like terms: -1x + -5x = -6x 12x + 4 + -1[-4 + -6x] = 13 12x + 4 + [-4 * -1 + -6x * -1] = 13 12x + 4 + [4 + 6x] = 13 Reorder the terms: 4 + 4 + 12x + 6x = 13 Combine like terms: 4 + 4 = 8 8 + 12x + 6x = 13 Combine like terms: 12x + 6x = 18x 8 + 18x = 13 Solving 8 + 18x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 18x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = 13 + -8 18x = 13 + -8 Combine like terms: 13 + -8 = 5 18x = 5 Divide each side by '18'. x = 0.2777777778 Simplifying x = 0.2777777778
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