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Simplifying -5x + 5 + -3(x + -1) = -1(4x + -4) + -3x + 3 Reorder the terms: -5x + 5 + -3(-1 + x) = -1(4x + -4) + -3x + 3 -5x + 5 + (-1 * -3 + x * -3) = -1(4x + -4) + -3x + 3 -5x + 5 + (3 + -3x) = -1(4x + -4) + -3x + 3 Reorder the terms: 5 + 3 + -5x + -3x = -1(4x + -4) + -3x + 3 Combine like terms: 5 + 3 = 8 8 + -5x + -3x = -1(4x + -4) + -3x + 3 Combine like terms: -5x + -3x = -8x 8 + -8x = -1(4x + -4) + -3x + 3 Reorder the terms: 8 + -8x = -1(-4 + 4x) + -3x + 3 8 + -8x = (-4 * -1 + 4x * -1) + -3x + 3 8 + -8x = (4 + -4x) + -3x + 3 Reorder the terms: 8 + -8x = 4 + 3 + -4x + -3x Combine like terms: 4 + 3 = 7 8 + -8x = 7 + -4x + -3x Combine like terms: -4x + -3x = -7x 8 + -8x = 7 + -7x Solving 8 + -8x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + -8x + 7x = 7 + -7x + 7x Combine like terms: -8x + 7x = -1x 8 + -1x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + -1x = 7 + 0 8 + -1x = 7 Add '-8' to each side of the equation. 8 + -8 + -1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 7 + -8 -1x = 7 + -8 Combine like terms: 7 + -8 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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