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Simplifying 3(5x + 6) + -0.5(x + 5) = 3 Reorder the terms: 3(6 + 5x) + -0.5(x + 5) = 3 (6 * 3 + 5x * 3) + -0.5(x + 5) = 3 (18 + 15x) + -0.5(x + 5) = 3 Reorder the terms: 18 + 15x + -0.5(5 + x) = 3 18 + 15x + (5 * -0.5 + x * -0.5) = 3 18 + 15x + (-2.5 + -0.5x) = 3 Reorder the terms: 18 + -2.5 + 15x + -0.5x = 3 Combine like terms: 18 + -2.5 = 15.5 15.5 + 15x + -0.5x = 3 Combine like terms: 15x + -0.5x = 14.5x 15.5 + 14.5x = 3 Solving 15.5 + 14.5x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.5' to each side of the equation. 15.5 + -15.5 + 14.5x = 3 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + 14.5x = 3 + -15.5 14.5x = 3 + -15.5 Combine like terms: 3 + -15.5 = -12.5 14.5x = -12.5 Divide each side by '14.5'. x = -0.8620689655 Simplifying x = -0.8620689655
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