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Simplifying -1 + -5(x + 1) = -2(-5 + x) + -1x Reorder the terms: -1 + -5(1 + x) = -2(-5 + x) + -1x -1 + (1 * -5 + x * -5) = -2(-5 + x) + -1x -1 + (-5 + -5x) = -2(-5 + x) + -1x Combine like terms: -1 + -5 = -6 -6 + -5x = -2(-5 + x) + -1x -6 + -5x = (-5 * -2 + x * -2) + -1x -6 + -5x = (10 + -2x) + -1x Combine like terms: -2x + -1x = -3x -6 + -5x = 10 + -3x Solving -6 + -5x = 10 + -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. -6 + -5x + 3x = 10 + -3x + 3x Combine like terms: -5x + 3x = -2x -6 + -2x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -2x = 10 + 0 -6 + -2x = 10 Add '6' to each side of the equation. -6 + 6 + -2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 10 + 6 -2x = 10 + 6 Combine like terms: 10 + 6 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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