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Simplifying 7x + -2(x + -1) = 8x + 24 + -2x Reorder the terms: 7x + -2(-1 + x) = 8x + 24 + -2x 7x + (-1 * -2 + x * -2) = 8x + 24 + -2x 7x + (2 + -2x) = 8x + 24 + -2x Reorder the terms: 2 + 7x + -2x = 8x + 24 + -2x Combine like terms: 7x + -2x = 5x 2 + 5x = 8x + 24 + -2x Reorder the terms: 2 + 5x = 24 + 8x + -2x Combine like terms: 8x + -2x = 6x 2 + 5x = 24 + 6x Solving 2 + 5x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 5x + -6x = 24 + 6x + -6x Combine like terms: 5x + -6x = -1x 2 + -1x = 24 + 6x + -6x Combine like terms: 6x + -6x = 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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