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Simplifying 2 + -1[2x + -1(x + -2) + 5] = 3x + 2(x + -1) Reorder the terms: 2 + -1[2x + -1(-2 + x) + 5] = 3x + 2(x + -1) 2 + -1[2x + (-2 * -1 + x * -1) + 5] = 3x + 2(x + -1) 2 + -1[2x + (2 + -1x) + 5] = 3x + 2(x + -1) Reorder the terms: 2 + -1[2 + 5 + 2x + -1x] = 3x + 2(x + -1) Combine like terms: 2 + 5 = 7 2 + -1[7 + 2x + -1x] = 3x + 2(x + -1) Combine like terms: 2x + -1x = 1x 2 + -1[7 + 1x] = 3x + 2(x + -1) 2 + [7 * -1 + 1x * -1] = 3x + 2(x + -1) 2 + [-7 + -1x] = 3x + 2(x + -1) Combine like terms: 2 + -7 = -5 -5 + -1x = 3x + 2(x + -1) Reorder the terms: -5 + -1x = 3x + 2(-1 + x) -5 + -1x = 3x + (-1 * 2 + x * 2) -5 + -1x = 3x + (-2 + 2x) Reorder the terms: -5 + -1x = -2 + 3x + 2x Combine like terms: 3x + 2x = 5x -5 + -1x = -2 + 5x Solving -5 + -1x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -1x + -5x = -2 + 5x + -5x Combine like terms: -1x + -5x = -6x -5 + -6x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -6x = -2 + 0 -5 + -6x = -2 Add '5' to each side of the equation. -5 + 5 + -6x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -2 + 5 -6x = -2 + 5 Combine like terms: -2 + 5 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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