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Simplifying 1(x + -2) = 1 + -1(x + 10) Reorder the terms: 1(-2 + x) = 1 + -1(x + 10) (-2 * 1 + x * 1) = 1 + -1(x + 10) (-2 + 1x) = 1 + -1(x + 10) Reorder the terms: -2 + 1x = 1 + -1(10 + x) -2 + 1x = 1 + (10 * -1 + x * -1) -2 + 1x = 1 + (-10 + -1x) Combine like terms: 1 + -10 = -9 -2 + 1x = -9 + -1x Solving -2 + 1x = -9 + -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. -2 + 1x + x = -9 + -1x + x Combine like terms: 1x + x = 2x -2 + 2x = -9 + -1x + x Combine like terms: -1x + x = 0 -2 + 2x = -9 + 0 -2 + 2x = -9 Add '2' to each side of the equation. -2 + 2 + 2x = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -9 + 2 2x = -9 + 2 Combine like terms: -9 + 2 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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