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Simplifying -2x + 23 = -1(8x + -5) Reorder the terms: 23 + -2x = -1(8x + -5) Reorder the terms: 23 + -2x = -1(-5 + 8x) 23 + -2x = (-5 * -1 + 8x * -1) 23 + -2x = (5 + -8x) Solving 23 + -2x = 5 + -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. 23 + -2x + 8x = 5 + -8x + 8x Combine like terms: -2x + 8x = 6x 23 + 6x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 23 + 6x = 5 + 0 23 + 6x = 5 Add '-23' to each side of the equation. 23 + -23 + 6x = 5 + -23 Combine like terms: 23 + -23 = 0 0 + 6x = 5 + -23 6x = 5 + -23 Combine like terms: 5 + -23 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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