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Simplifying 0.2x + 0.5(12 + -1x) = 3.6 0.2x + (12 * 0.5 + -1x * 0.5) = 3.6 0.2x + (6 + -0.5x) = 3.6 Reorder the terms: 6 + 0.2x + -0.5x = 3.6 Combine like terms: 0.2x + -0.5x = -0.3x 6 + -0.3x = 3.6 Solving 6 + -0.3x = 3.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -0.3x = 3.6 + -6 Combine like terms: 6 + -6 = 0 0 + -0.3x = 3.6 + -6 -0.3x = 3.6 + -6 Combine like terms: 3.6 + -6 = -2.4 -0.3x = -2.4 Divide each side by '-0.3'. x = 8 Simplifying x = 8
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