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Simplifying 0.5x + 0.10(x + 3) + 0.25(27 + -2x) = 3.35 Reorder the terms: 0.5x + 0.10(3 + x) + 0.25(27 + -2x) = 3.35 0.5x + (3 * 0.10 + x * 0.10) + 0.25(27 + -2x) = 3.35 0.5x + (0.3 + 0.10x) + 0.25(27 + -2x) = 3.35 0.5x + 0.3 + 0.10x + (27 * 0.25 + -2x * 0.25) = 3.35 0.5x + 0.3 + 0.10x + (6.75 + -0.5x) = 3.35 Reorder the terms: 0.3 + 6.75 + 0.5x + 0.10x + -0.5x = 3.35 Combine like terms: 0.3 + 6.75 = 7.05 7.05 + 0.5x + 0.10x + -0.5x = 3.35 Combine like terms: 0.5x + 0.10x = 0.6x 7.05 + 0.6x + -0.5x = 3.35 Combine like terms: 0.6x + -0.5x = 0.1x 7.05 + 0.1x = 3.35 Solving 7.05 + 0.1x = 3.35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.05' to each side of the equation. 7.05 + -7.05 + 0.1x = 3.35 + -7.05 Combine like terms: 7.05 + -7.05 = 0.00 0.00 + 0.1x = 3.35 + -7.05 0.1x = 3.35 + -7.05 Combine like terms: 3.35 + -7.05 = -3.7 0.1x = -3.7 Divide each side by '0.1'. x = -37 Simplifying x = -37
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