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Simplifying 8(2x + 1) + -1(5x + -4) = 0 Reorder the terms: 8(1 + 2x) + -1(5x + -4) = 0 (1 * 8 + 2x * 8) + -1(5x + -4) = 0 (8 + 16x) + -1(5x + -4) = 0 Reorder the terms: 8 + 16x + -1(-4 + 5x) = 0 8 + 16x + (-4 * -1 + 5x * -1) = 0 8 + 16x + (4 + -5x) = 0 Reorder the terms: 8 + 4 + 16x + -5x = 0 Combine like terms: 8 + 4 = 12 12 + 16x + -5x = 0 Combine like terms: 16x + -5x = 11x 12 + 11x = 0 Solving 12 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 11x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 0 + -12 11x = 0 + -12 Combine like terms: 0 + -12 = -12 11x = -12 Divide each side by '11'. x = -1.090909091 Simplifying x = -1.090909091
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