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Simplifying -5(x + -2) + 8(x + 1) = 0 Reorder the terms: -5(-2 + x) + 8(x + 1) = 0 (-2 * -5 + x * -5) + 8(x + 1) = 0 (10 + -5x) + 8(x + 1) = 0 Reorder the terms: 10 + -5x + 8(1 + x) = 0 10 + -5x + (1 * 8 + x * 8) = 0 10 + -5x + (8 + 8x) = 0 Reorder the terms: 10 + 8 + -5x + 8x = 0 Combine like terms: 10 + 8 = 18 18 + -5x + 8x = 0 Combine like terms: -5x + 8x = 3x 18 + 3x = 0 Solving 18 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 0 + -18 3x = 0 + -18 Combine like terms: 0 + -18 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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