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Simplifying -1(2x + 8) = x + 22 Reorder the terms: -1(8 + 2x) = x + 22 (8 * -1 + 2x * -1) = x + 22 (-8 + -2x) = x + 22 Reorder the terms: -8 + -2x = 22 + x Solving -8 + -2x = 22 + x 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 = 22 + x + -1x Combine like terms: -2x + -1x = -3x -8 + -3x = 22 + x + -1x Combine like terms: x + -1x = 0 -8 + -3x = 22 + 0 -8 + -3x = 22 Add '8' to each side of the equation. -8 + 8 + -3x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 22 + 8 -3x = 22 + 8 Combine like terms: 22 + 8 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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