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Simplifying 0.5(2x + 2) + -0.75(3x + -1) = 15 Reorder the terms: 0.5(2 + 2x) + -0.75(3x + -1) = 15 (2 * 0.5 + 2x * 0.5) + -0.75(3x + -1) = 15 (1 + 1x) + -0.75(3x + -1) = 15 Reorder the terms: 1 + 1x + -0.75(-1 + 3x) = 15 1 + 1x + (-1 * -0.75 + 3x * -0.75) = 15 1 + 1x + (0.75 + -2.25x) = 15 Reorder the terms: 1 + 0.75 + 1x + -2.25x = 15 Combine like terms: 1 + 0.75 = 1.75 1.75 + 1x + -2.25x = 15 Combine like terms: 1x + -2.25x = -1.25x 1.75 + -1.25x = 15 Solving 1.75 + -1.25x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + -1.25x = 15 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -1.25x = 15 + -1.75 -1.25x = 15 + -1.75 Combine like terms: 15 + -1.75 = 13.25 -1.25x = 13.25 Divide each side by '-1.25'. x = -10.6 Simplifying x = -10.6
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