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Simplifying 3.5(8x + 5) + -2(5.5x + 1.5) = 0 Reorder the terms: 3.5(5 + 8x) + -2(5.5x + 1.5) = 0 (5 * 3.5 + 8x * 3.5) + -2(5.5x + 1.5) = 0 (17.5 + 28x) + -2(5.5x + 1.5) = 0 Reorder the terms: 17.5 + 28x + -2(1.5 + 5.5x) = 0 17.5 + 28x + (1.5 * -2 + 5.5x * -2) = 0 17.5 + 28x + (-3 + -11x) = 0 Reorder the terms: 17.5 + -3 + 28x + -11x = 0 Combine like terms: 17.5 + -3 = 14.5 14.5 + 28x + -11x = 0 Combine like terms: 28x + -11x = 17x 14.5 + 17x = 0 Solving 14.5 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.5' to each side of the equation. 14.5 + -14.5 + 17x = 0 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + 17x = 0 + -14.5 17x = 0 + -14.5 Combine like terms: 0 + -14.5 = -14.5 17x = -14.5 Divide each side by '17'. x = -0.8529411765 Simplifying x = -0.8529411765
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