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Simplifying -2x + -10 = -1(x + 2) + 7 Reorder the terms: -10 + -2x = -1(x + 2) + 7 Reorder the terms: -10 + -2x = -1(2 + x) + 7 -10 + -2x = (2 * -1 + x * -1) + 7 -10 + -2x = (-2 + -1x) + 7 Reorder the terms: -10 + -2x = -2 + 7 + -1x Combine like terms: -2 + 7 = 5 -10 + -2x = 5 + -1x Solving -10 + -2x = 5 + -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 + -2x + x = 5 + -1x + x Combine like terms: -2x + x = -1x -10 + -1x = 5 + -1x + x Combine like terms: -1x + x = 0 -10 + -1x = 5 + 0 -10 + -1x = 5 Add '10' to each side of the equation. -10 + 10 + -1x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 5 + 10 -1x = 5 + 10 Combine like terms: 5 + 10 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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