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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 = 10 12x + 4 + -1[10 + -1x + -5x] = 13 Combine like terms: -1x + -5x = -6x 12x + 4 + -1[10 + -6x] = 13 12x + 4 + [10 * -1 + -6x * -1] = 13 12x + 4 + [-10 + 6x] = 13 Reorder the terms: 4 + -10 + 12x + 6x = 13 Combine like terms: 4 + -10 = -6 -6 + 12x + 6x = 13 Combine like terms: 12x + 6x = 18x -6 + 18x = 13 Solving -6 + 18x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 18x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 13 + 6 18x = 13 + 6 Combine like terms: 13 + 6 = 19 18x = 19 Divide each side by '18'. x = 1.055555556 Simplifying x = 1.055555556
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