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Simplifying -5x + 3 + -1(1 + -1x) + 2 = 1 + 3(2x + 2) + -2x -5x + 3 + (1 * -1 + -1x * -1) + 2 = 1 + 3(2x + 2) + -2x -5x + 3 + (-1 + 1x) + 2 = 1 + 3(2x + 2) + -2x Reorder the terms: 3 + -1 + 2 + -5x + 1x = 1 + 3(2x + 2) + -2x Combine like terms: 3 + -1 = 2 2 + 2 + -5x + 1x = 1 + 3(2x + 2) + -2x Combine like terms: 2 + 2 = 4 4 + -5x + 1x = 1 + 3(2x + 2) + -2x Combine like terms: -5x + 1x = -4x 4 + -4x = 1 + 3(2x + 2) + -2x Reorder the terms: 4 + -4x = 1 + 3(2 + 2x) + -2x 4 + -4x = 1 + (2 * 3 + 2x * 3) + -2x 4 + -4x = 1 + (6 + 6x) + -2x Combine like terms: 1 + 6 = 7 4 + -4x = 7 + 6x + -2x Combine like terms: 6x + -2x = 4x 4 + -4x = 7 + 4x Solving 4 + -4x = 7 + 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. 4 + -4x + -4x = 7 + 4x + -4x Combine like terms: -4x + -4x = -8x 4 + -8x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -8x = 7 + 0 4 + -8x = 7 Add '-4' to each side of the equation. 4 + -4 + -8x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 7 + -4 -8x = 7 + -4 Combine like terms: 7 + -4 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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