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Simplifying 3 + -1(-3(x + -1(x + -1) + -1x) + 5) = -2(x + -2) Reorder the terms: 3 + -1(-3(x + -1(-1 + x) + -1x) + 5) = -2(x + -2) 3 + -1(-3(x + (-1 * -1 + x * -1) + -1x) + 5) = -2(x + -2) 3 + -1(-3(x + (1 + -1x) + -1x) + 5) = -2(x + -2) Reorder the terms: 3 + -1(-3(1 + x + -1x + -1x) + 5) = -2(x + -2) Combine like terms: x + -1x = 0 3 + -1(-3(1 + 0 + -1x) + 5) = -2(x + -2) 3 + -1(-3(1 + -1x) + 5) = -2(x + -2) 3 + -1((1 * -3 + -1x * -3) + 5) = -2(x + -2) 3 + -1((-3 + 3x) + 5) = -2(x + -2) Reorder the terms: 3 + -1(-3 + 5 + 3x) = -2(x + -2) Combine like terms: -3 + 5 = 2 3 + -1(2 + 3x) = -2(x + -2) 3 + (2 * -1 + 3x * -1) = -2(x + -2) 3 + (-2 + -3x) = -2(x + -2) Combine like terms: 3 + -2 = 1 1 + -3x = -2(x + -2) Reorder the terms: 1 + -3x = -2(-2 + x) 1 + -3x = (-2 * -2 + x * -2) 1 + -3x = (4 + -2x) Solving 1 + -3x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + -3x + 2x = 4 + -2x + 2x Combine like terms: -3x + 2x = -1x 1 + -1x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -1x = 4 + 0 1 + -1x = 4 Add '-1' to each side of the equation. 1 + -1 + -1x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 4 + -1 -1x = 4 + -1 Combine like terms: 4 + -1 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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