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Simplifying 3.5(2x + 1) + -0.5(1 + -3x) = 14 Reorder the terms: 3.5(1 + 2x) + -0.5(1 + -3x) = 14 (1 * 3.5 + 2x * 3.5) + -0.5(1 + -3x) = 14 (3.5 + 7x) + -0.5(1 + -3x) = 14 3.5 + 7x + (1 * -0.5 + -3x * -0.5) = 14 3.5 + 7x + (-0.5 + 1.5x) = 14 Reorder the terms: 3.5 + -0.5 + 7x + 1.5x = 14 Combine like terms: 3.5 + -0.5 = 3 3 + 7x + 1.5x = 14 Combine like terms: 7x + 1.5x = 8.5x 3 + 8.5x = 14 Solving 3 + 8.5x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8.5x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 8.5x = 14 + -3 8.5x = 14 + -3 Combine like terms: 14 + -3 = 11 8.5x = 11 Divide each side by '8.5'. x = 1.294117647 Simplifying x = 1.294117647
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