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Simplifying 0.5(5x + 1) = 2(2 + -3x) + 5 Reorder the terms: 0.5(1 + 5x) = 2(2 + -3x) + 5 (1 * 0.5 + 5x * 0.5) = 2(2 + -3x) + 5 (0.5 + 2.5x) = 2(2 + -3x) + 5 0.5 + 2.5x = (2 * 2 + -3x * 2) + 5 0.5 + 2.5x = (4 + -6x) + 5 Reorder the terms: 0.5 + 2.5x = 4 + 5 + -6x Combine like terms: 4 + 5 = 9 0.5 + 2.5x = 9 + -6x Solving 0.5 + 2.5x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 0.5 + 2.5x + 6x = 9 + -6x + 6x Combine like terms: 2.5x + 6x = 8.5x 0.5 + 8.5x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 0.5 + 8.5x = 9 + 0 0.5 + 8.5x = 9 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 8.5x = 9 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 8.5x = 9 + -0.5 8.5x = 9 + -0.5 Combine like terms: 9 + -0.5 = 8.5 8.5x = 8.5 Divide each side by '8.5'. x = 1 Simplifying x = 1
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