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Simplifying 12 + -1(0.25 + 0.5x) + x = (0.25 + 0.5x) * 9 + -3x + 3 12 + (0.25 * -1 + 0.5x * -1) + x = (0.25 + 0.5x) * 9 + -3x + 3 12 + (-0.25 + -0.5x) + x = (0.25 + 0.5x) * 9 + -3x + 3 Combine like terms: 12 + -0.25 = 11.75 11.75 + -0.5x + x = (0.25 + 0.5x) * 9 + -3x + 3 Combine like terms: -0.5x + x = 0.5x 11.75 + 0.5x = (0.25 + 0.5x) * 9 + -3x + 3 Reorder the terms for easier multiplication: 11.75 + 0.5x = 9(0.25 + 0.5x) + -3x + 3 11.75 + 0.5x = (0.25 * 9 + 0.5x * 9) + -3x + 3 11.75 + 0.5x = (2.25 + 4.5x) + -3x + 3 Reorder the terms: 11.75 + 0.5x = 2.25 + 3 + 4.5x + -3x Combine like terms: 2.25 + 3 = 5.25 11.75 + 0.5x = 5.25 + 4.5x + -3x Combine like terms: 4.5x + -3x = 1.5x 11.75 + 0.5x = 5.25 + 1.5x Solving 11.75 + 0.5x = 5.25 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 11.75 + 0.5x + -1.5x = 5.25 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x 11.75 + -1x = 5.25 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 11.75 + -1x = 5.25 + 0.0 11.75 + -1x = 5.25 Add '-11.75' to each side of the equation. 11.75 + -11.75 + -1x = 5.25 + -11.75 Combine like terms: 11.75 + -11.75 = 0.00 0.00 + -1x = 5.25 + -11.75 -1x = 5.25 + -11.75 Combine like terms: 5.25 + -11.75 = -6.5 -1x = -6.5 Divide each side by '-1'. x = 6.5 Simplifying x = 6.5
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