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Simplifying 3x + 5 + -1(2x + 1 + -1(2x + -3 + -1(x + -2))) = x + 15 Reorder the terms: 3x + 5 + -1(2x + 1 + -1(2x + -3 + -1(-2 + x))) = x + 15 3x + 5 + -1(2x + 1 + -1(2x + -3 + (-2 * -1 + x * -1))) = x + 15 3x + 5 + -1(2x + 1 + -1(2x + -3 + (2 + -1x))) = x + 15 Reorder the terms: 3x + 5 + -1(2x + 1 + -1(-3 + 2 + 2x + -1x)) = x + 15 Combine like terms: -3 + 2 = -1 3x + 5 + -1(2x + 1 + -1(-1 + 2x + -1x)) = x + 15 Combine like terms: 2x + -1x = 1x 3x + 5 + -1(2x + 1 + -1(-1 + 1x)) = x + 15 3x + 5 + -1(2x + 1 + (-1 * -1 + 1x * -1)) = x + 15 3x + 5 + -1(2x + 1 + (1 + -1x)) = x + 15 Reorder the terms: 3x + 5 + -1(1 + 1 + 2x + -1x) = x + 15 Combine like terms: 1 + 1 = 2 3x + 5 + -1(2 + 2x + -1x) = x + 15 Combine like terms: 2x + -1x = 1x 3x + 5 + -1(2 + 1x) = x + 15 3x + 5 + (2 * -1 + 1x * -1) = x + 15 3x + 5 + (-2 + -1x) = x + 15 Reorder the terms: 5 + -2 + 3x + -1x = x + 15 Combine like terms: 5 + -2 = 3 3 + 3x + -1x = x + 15 Combine like terms: 3x + -1x = 2x 3 + 2x = x + 15 Reorder the terms: 3 + 2x = 15 + x Solving 3 + 2x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 2x + -1x = 15 + x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = 15 + x + -1x Combine like terms: x + -1x = 0 3 + 1x = 15 + 0 3 + 1x = 15 Add '-3' to each side of the equation. 3 + -3 + 1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 15 + -3 1x = 15 + -3 Combine like terms: 15 + -3 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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