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Simplifying 0.50(2x + 2) + -0.25(3x + -1) = 15 Reorder the terms: 0.50(2 + 2x) + -0.25(3x + -1) = 15 (2 * 0.50 + 2x * 0.50) + -0.25(3x + -1) = 15 (1 + 1x) + -0.25(3x + -1) = 15 Reorder the terms: 1 + 1x + -0.25(-1 + 3x) = 15 1 + 1x + (-1 * -0.25 + 3x * -0.25) = 15 1 + 1x + (0.25 + -0.75x) = 15 Reorder the terms: 1 + 0.25 + 1x + -0.75x = 15 Combine like terms: 1 + 0.25 = 1.25 1.25 + 1x + -0.75x = 15 Combine like terms: 1x + -0.75x = 0.25x 1.25 + 0.25x = 15 Solving 1.25 + 0.25x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + 0.25x = 15 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.25x = 15 + -1.25 0.25x = 15 + -1.25 Combine like terms: 15 + -1.25 = 13.75 0.25x = 13.75 Divide each side by '0.25'. x = 55 Simplifying x = 55
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