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Simplifying 0.5(0.2x + 0.3) = 0.3x + -0.2 Reorder the terms: 0.5(0.3 + 0.2x) = 0.3x + -0.2 (0.3 * 0.5 + 0.2x * 0.5) = 0.3x + -0.2 (0.15 + 0.1x) = 0.3x + -0.2 Reorder the terms: 0.15 + 0.1x = -0.2 + 0.3x Solving 0.15 + 0.1x = -0.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 0.15 + 0.1x + -0.3x = -0.2 + 0.3x + -0.3x Combine like terms: 0.1x + -0.3x = -0.2x 0.15 + -0.2x = -0.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.15 + -0.2x = -0.2 + 0.0 0.15 + -0.2x = -0.2 Add '-0.15' to each side of the equation. 0.15 + -0.15 + -0.2x = -0.2 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.2x = -0.2 + -0.15 -0.2x = -0.2 + -0.15 Combine like terms: -0.2 + -0.15 = -0.35 -0.2x = -0.35 Divide each side by '-0.2'. x = 1.75 Simplifying x = 1.75
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