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Simplifying 9x + -1(2x + 2) = 8x + -24 Reorder the terms: 9x + -1(2 + 2x) = 8x + -24 9x + (2 * -1 + 2x * -1) = 8x + -24 9x + (-2 + -2x) = 8x + -24 Reorder the terms: -2 + 9x + -2x = 8x + -24 Combine like terms: 9x + -2x = 7x -2 + 7x = 8x + -24 Reorder the terms: -2 + 7x = -24 + 8x Solving -2 + 7x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 7x + -8x = -24 + 8x + -8x Combine like terms: 7x + -8x = -1x -2 + -1x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -1x = -24 + 0 -2 + -1x = -24 Add '2' to each side of the equation. -2 + 2 + -1x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -24 + 2 -1x = -24 + 2 Combine like terms: -24 + 2 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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