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Simplifying 15x + -1[5 + -1(12x + 6) + 13x] = 7x + 15 Reorder the terms: 15x + -1[5 + -1(6 + 12x) + 13x] = 7x + 15 15x + -1[5 + (6 * -1 + 12x * -1) + 13x] = 7x + 15 15x + -1[5 + (-6 + -12x) + 13x] = 7x + 15 Combine like terms: 5 + -6 = -1 15x + -1[-1 + -12x + 13x] = 7x + 15 Combine like terms: -12x + 13x = 1x 15x + -1[-1 + 1x] = 7x + 15 15x + [-1 * -1 + 1x * -1] = 7x + 15 15x + [1 + -1x] = 7x + 15 Reorder the terms: 1 + 15x + -1x = 7x + 15 Combine like terms: 15x + -1x = 14x 1 + 14x = 7x + 15 Reorder the terms: 1 + 14x = 15 + 7x Solving 1 + 14x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 14x + -7x = 15 + 7x + -7x Combine like terms: 14x + -7x = 7x 1 + 7x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 7x = 15 + 0 1 + 7x = 15 Add '-1' to each side of the equation. 1 + -1 + 7x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 15 + -1 7x = 15 + -1 Combine like terms: 15 + -1 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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