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Simplifying -8(x + -4) + 5(2x + 1) = 0 Reorder the terms: -8(-4 + x) + 5(2x + 1) = 0 (-4 * -8 + x * -8) + 5(2x + 1) = 0 (32 + -8x) + 5(2x + 1) = 0 Reorder the terms: 32 + -8x + 5(1 + 2x) = 0 32 + -8x + (1 * 5 + 2x * 5) = 0 32 + -8x + (5 + 10x) = 0 Reorder the terms: 32 + 5 + -8x + 10x = 0 Combine like terms: 32 + 5 = 37 37 + -8x + 10x = 0 Combine like terms: -8x + 10x = 2x 37 + 2x = 0 Solving 37 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 2x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 2x = 0 + -37 2x = 0 + -37 Combine like terms: 0 + -37 = -37 2x = -37 Divide each side by '2'. x = -18.5 Simplifying x = -18.5
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