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Simplifying 23 + -1(3x + -8) = 5 + -2(4x + -9) Reorder the terms: 23 + -1(-8 + 3x) = 5 + -2(4x + -9) 23 + (-8 * -1 + 3x * -1) = 5 + -2(4x + -9) 23 + (8 + -3x) = 5 + -2(4x + -9) Combine like terms: 23 + 8 = 31 31 + -3x = 5 + -2(4x + -9) Reorder the terms: 31 + -3x = 5 + -2(-9 + 4x) 31 + -3x = 5 + (-9 * -2 + 4x * -2) 31 + -3x = 5 + (18 + -8x) Combine like terms: 5 + 18 = 23 31 + -3x = 23 + -8x Solving 31 + -3x = 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. 31 + -3x + 8x = 23 + -8x + 8x Combine like terms: -3x + 8x = 5x 31 + 5x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 31 + 5x = 23 + 0 31 + 5x = 23 Add '-31' to each side of the equation. 31 + -31 + 5x = 23 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 23 + -31 5x = 23 + -31 Combine like terms: 23 + -31 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6
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