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Simplifying 8x + -2(x + -1) = 9x + 23 + -2x Reorder the terms: 8x + -2(-1 + x) = 9x + 23 + -2x 8x + (-1 * -2 + x * -2) = 9x + 23 + -2x 8x + (2 + -2x) = 9x + 23 + -2x Reorder the terms: 2 + 8x + -2x = 9x + 23 + -2x Combine like terms: 8x + -2x = 6x 2 + 6x = 9x + 23 + -2x Reorder the terms: 2 + 6x = 23 + 9x + -2x Combine like terms: 9x + -2x = 7x 2 + 6x = 23 + 7x Solving 2 + 6x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 6x + -7x = 23 + 7x + -7x Combine like terms: 6x + -7x = -1x 2 + -1x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -1x = 23 + 0 2 + -1x = 23 Add '-2' to each side of the equation. 2 + -2 + -1x = 23 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 23 + -2 -1x = 23 + -2 Combine like terms: 23 + -2 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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