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Simplifying 8(x + -1) + 39 = x + -5(x + 1) Reorder the terms: 8(-1 + x) + 39 = x + -5(x + 1) (-1 * 8 + x * 8) + 39 = x + -5(x + 1) (-8 + 8x) + 39 = x + -5(x + 1) Reorder the terms: -8 + 39 + 8x = x + -5(x + 1) Combine like terms: -8 + 39 = 31 31 + 8x = x + -5(x + 1) Reorder the terms: 31 + 8x = x + -5(1 + x) 31 + 8x = x + (1 * -5 + x * -5) 31 + 8x = x + (-5 + -5x) Reorder the terms: 31 + 8x = -5 + x + -5x Combine like terms: x + -5x = -4x 31 + 8x = -5 + -4x Solving 31 + 8x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 31 + 8x + 4x = -5 + -4x + 4x Combine like terms: 8x + 4x = 12x 31 + 12x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 31 + 12x = -5 + 0 31 + 12x = -5 Add '-31' to each side of the equation. 31 + -31 + 12x = -5 + -31 Combine like terms: 31 + -31 = 0 0 + 12x = -5 + -31 12x = -5 + -31 Combine like terms: -5 + -31 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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