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Simplifying -5 + 6(x + 6) = 8x + -3(x + -8) Reorder the terms: -5 + 6(6 + x) = 8x + -3(x + -8) -5 + (6 * 6 + x * 6) = 8x + -3(x + -8) -5 + (36 + 6x) = 8x + -3(x + -8) Combine like terms: -5 + 36 = 31 31 + 6x = 8x + -3(x + -8) Reorder the terms: 31 + 6x = 8x + -3(-8 + x) 31 + 6x = 8x + (-8 * -3 + x * -3) 31 + 6x = 8x + (24 + -3x) Reorder the terms: 31 + 6x = 24 + 8x + -3x Combine like terms: 8x + -3x = 5x 31 + 6x = 24 + 5x Solving 31 + 6x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 31 + 6x + -5x = 24 + 5x + -5x Combine like terms: 6x + -5x = 1x 31 + 1x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + 1x = 24 + 0 31 + 1x = 24 Add '-31' to each side of the equation. 31 + -31 + 1x = 24 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 24 + -31 1x = 24 + -31 Combine like terms: 24 + -31 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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