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Simplifying 5x + -1[2 + 3(1 + -1x)] = 2x + 2(x + -1) 5x + -1[2 + (1 * 3 + -1x * 3)] = 2x + 2(x + -1) 5x + -1[2 + (3 + -3x)] = 2x + 2(x + -1) Combine like terms: 2 + 3 = 5 5x + -1[5 + -3x] = 2x + 2(x + -1) 5x + [5 * -1 + -3x * -1] = 2x + 2(x + -1) 5x + [-5 + 3x] = 2x + 2(x + -1) Reorder the terms: -5 + 5x + 3x = 2x + 2(x + -1) Combine like terms: 5x + 3x = 8x -5 + 8x = 2x + 2(x + -1) Reorder the terms: -5 + 8x = 2x + 2(-1 + x) -5 + 8x = 2x + (-1 * 2 + x * 2) -5 + 8x = 2x + (-2 + 2x) Reorder the terms: -5 + 8x = -2 + 2x + 2x Combine like terms: 2x + 2x = 4x -5 + 8x = -2 + 4x Solving -5 + 8x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 8x + -4x = -2 + 4x + -4x Combine like terms: 8x + -4x = 4x -5 + 4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 4x = -2 + 0 -5 + 4x = -2 Add '5' to each side of the equation. -5 + 5 + 4x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = -2 + 5 4x = -2 + 5 Combine like terms: -2 + 5 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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