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Simplifying 12 + -1(2x + 5) = 23 + -8x Reorder the terms: 12 + -1(5 + 2x) = 23 + -8x 12 + (5 * -1 + 2x * -1) = 23 + -8x 12 + (-5 + -2x) = 23 + -8x Combine like terms: 12 + -5 = 7 7 + -2x = 23 + -8x Solving 7 + -2x = 23 + -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. 7 + -2x + 8x = 23 + -8x + 8x Combine like terms: -2x + 8x = 6x 7 + 6x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 6x = 23 + 0 7 + 6x = 23 Add '-7' to each side of the equation. 7 + -7 + 6x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 23 + -7 6x = 23 + -7 Combine like terms: 23 + -7 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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