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Simplifying -1[7 + -1(5x + -3)] + -1x = -3(x + -1) + 2x + 2 Reorder the terms: -1[7 + -1(-3 + 5x)] + -1x = -3(x + -1) + 2x + 2 -1[7 + (-3 * -1 + 5x * -1)] + -1x = -3(x + -1) + 2x + 2 -1[7 + (3 + -5x)] + -1x = -3(x + -1) + 2x + 2 Combine like terms: 7 + 3 = 10 -1[10 + -5x] + -1x = -3(x + -1) + 2x + 2 [10 * -1 + -5x * -1] + -1x = -3(x + -1) + 2x + 2 [-10 + 5x] + -1x = -3(x + -1) + 2x + 2 Combine like terms: 5x + -1x = 4x -10 + 4x = -3(x + -1) + 2x + 2 Reorder the terms: -10 + 4x = -3(-1 + x) + 2x + 2 -10 + 4x = (-1 * -3 + x * -3) + 2x + 2 -10 + 4x = (3 + -3x) + 2x + 2 Reorder the terms: -10 + 4x = 3 + 2 + -3x + 2x Combine like terms: 3 + 2 = 5 -10 + 4x = 5 + -3x + 2x Combine like terms: -3x + 2x = -1x -10 + 4x = 5 + -1x Solving -10 + 4x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 4x + x = 5 + -1x + x Combine like terms: 4x + x = 5x -10 + 5x = 5 + -1x + x Combine like terms: -1x + x = 0 -10 + 5x = 5 + 0 -10 + 5x = 5 Add '10' to each side of the equation. -10 + 10 + 5x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 5 + 10 5x = 5 + 10 Combine like terms: 5 + 10 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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