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Simplifying -10(x + 1) + 2 = -1x + 10 Reorder the terms: -10(1 + x) + 2 = -1x + 10 (1 * -10 + x * -10) + 2 = -1x + 10 (-10 + -10x) + 2 = -1x + 10 Reorder the terms: -10 + 2 + -10x = -1x + 10 Combine like terms: -10 + 2 = -8 -8 + -10x = -1x + 10 Reorder the terms: -8 + -10x = 10 + -1x Solving -8 + -10x = 10 + -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. -8 + -10x + x = 10 + -1x + x Combine like terms: -10x + x = -9x -8 + -9x = 10 + -1x + x Combine like terms: -1x + x = 0 -8 + -9x = 10 + 0 -8 + -9x = 10 Add '8' to each side of the equation. -8 + 8 + -9x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 10 + 8 -9x = 10 + 8 Combine like terms: 10 + 8 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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