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Simplifying 24 = 8(-1x + -1) + 5(6 + 2x) Reorder the terms: 24 = 8(-1 + -1x) + 5(6 + 2x) 24 = (-1 * 8 + -1x * 8) + 5(6 + 2x) 24 = (-8 + -8x) + 5(6 + 2x) 24 = -8 + -8x + (6 * 5 + 2x * 5) 24 = -8 + -8x + (30 + 10x) Reorder the terms: 24 = -8 + 30 + -8x + 10x Combine like terms: -8 + 30 = 22 24 = 22 + -8x + 10x Combine like terms: -8x + 10x = 2x 24 = 22 + 2x Solving 24 = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + -2x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -2x = 22 + 0 24 + -2x = 22 Add '-24' to each side of the equation. 24 + -24 + -2x = 22 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 22 + -24 -2x = 22 + -24 Combine like terms: 22 + -24 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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