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Simplifying -5x + -10 = 2 + -1(x + 8) Reorder the terms: -10 + -5x = 2 + -1(x + 8) Reorder the terms: -10 + -5x = 2 + -1(8 + x) -10 + -5x = 2 + (8 * -1 + x * -1) -10 + -5x = 2 + (-8 + -1x) Combine like terms: 2 + -8 = -6 -10 + -5x = -6 + -1x Solving -10 + -5x = -6 + -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 + -5x + x = -6 + -1x + x Combine like terms: -5x + x = -4x -10 + -4x = -6 + -1x + x Combine like terms: -1x + x = 0 -10 + -4x = -6 + 0 -10 + -4x = -6 Add '10' to each side of the equation. -10 + 10 + -4x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -6 + 10 -4x = -6 + 10 Combine like terms: -6 + 10 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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