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Simplifying 3x + -1x + -8 = -1(x + -10) + 2x Reorder the terms: -8 + 3x + -1x = -1(x + -10) + 2x Combine like terms: 3x + -1x = 2x -8 + 2x = -1(x + -10) + 2x Reorder the terms: -8 + 2x = -1(-10 + x) + 2x -8 + 2x = (-10 * -1 + x * -1) + 2x -8 + 2x = (10 + -1x) + 2x Combine like terms: -1x + 2x = 1x -8 + 2x = 10 + 1x Solving -8 + 2x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 2x + -1x = 10 + 1x + -1x Combine like terms: 2x + -1x = 1x -8 + 1x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + 1x = 10 + 0 -8 + 1x = 10 Add '8' to each side of the equation. -8 + 8 + 1x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 10 + 8 1x = 10 + 8 Combine like terms: 10 + 8 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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