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Simplifying 8(2x + 1) + -5(x + -4) = 0 Reorder the terms: 8(1 + 2x) + -5(x + -4) = 0 (1 * 8 + 2x * 8) + -5(x + -4) = 0 (8 + 16x) + -5(x + -4) = 0 Reorder the terms: 8 + 16x + -5(-4 + x) = 0 8 + 16x + (-4 * -5 + x * -5) = 0 8 + 16x + (20 + -5x) = 0 Reorder the terms: 8 + 20 + 16x + -5x = 0 Combine like terms: 8 + 20 = 28 28 + 16x + -5x = 0 Combine like terms: 16x + -5x = 11x 28 + 11x = 0 Solving 28 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 11x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 11x = 0 + -28 11x = 0 + -28 Combine like terms: 0 + -28 = -28 11x = -28 Divide each side by '11'. x = -2.545454545 Simplifying x = -2.545454545
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