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Simplifying 0.5(5x + 1) = 2(3 + -4x) + 5 Reorder the terms: 0.5(1 + 5x) = 2(3 + -4x) + 5 (1 * 0.5 + 5x * 0.5) = 2(3 + -4x) + 5 (0.5 + 2.5x) = 2(3 + -4x) + 5 0.5 + 2.5x = (3 * 2 + -4x * 2) + 5 0.5 + 2.5x = (6 + -8x) + 5 Reorder the terms: 0.5 + 2.5x = 6 + 5 + -8x Combine like terms: 6 + 5 = 11 0.5 + 2.5x = 11 + -8x Solving 0.5 + 2.5x = 11 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 0.5 + 2.5x + 8x = 11 + -8x + 8x Combine like terms: 2.5x + 8x = 10.5x 0.5 + 10.5x = 11 + -8x + 8x Combine like terms: -8x + 8x = 0 0.5 + 10.5x = 11 + 0 0.5 + 10.5x = 11 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 10.5x = 11 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 10.5x = 11 + -0.5 10.5x = 11 + -0.5 Combine like terms: 11 + -0.5 = 10.5 10.5x = 10.5 Divide each side by '10.5'. x = 1 Simplifying x = 1
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