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Simplifying -1(x + 5) + -1(2 + 5x) + 8x = 3x + -5 Reorder the terms: -1(5 + x) + -1(2 + 5x) + 8x = 3x + -5 (5 * -1 + x * -1) + -1(2 + 5x) + 8x = 3x + -5 (-5 + -1x) + -1(2 + 5x) + 8x = 3x + -5 -5 + -1x + (2 * -1 + 5x * -1) + 8x = 3x + -5 -5 + -1x + (-2 + -5x) + 8x = 3x + -5 Reorder the terms: -5 + -2 + -1x + -5x + 8x = 3x + -5 Combine like terms: -5 + -2 = -7 -7 + -1x + -5x + 8x = 3x + -5 Combine like terms: -1x + -5x = -6x -7 + -6x + 8x = 3x + -5 Combine like terms: -6x + 8x = 2x -7 + 2x = 3x + -5 Reorder the terms: -7 + 2x = -5 + 3x Solving -7 + 2x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 2x + -3x = -5 + 3x + -3x Combine like terms: 2x + -3x = -1x -7 + -1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -1x = -5 + 0 -7 + -1x = -5 Add '7' to each side of the equation. -7 + 7 + -1x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -5 + 7 -1x = -5 + 7 Combine like terms: -5 + 7 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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