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Simplifying 0.2x + 1(2 + -1x) = 0.75(2) 0.2x + (2 * 1 + -1x * 1) = 0.75(2) 0.2x + (2 + -1x) = 0.75(2) Reorder the terms: 2 + 0.2x + -1x = 0.75(2) Combine like terms: 0.2x + -1x = -0.8x 2 + -0.8x = 0.75(2) Multiply 0.75 * 2 2 + -0.8x = 1.5 Solving 2 + -0.8x = 1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -0.8x = 1.5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.8x = 1.5 + -2 -0.8x = 1.5 + -2 Combine like terms: 1.5 + -2 = -0.5 -0.8x = -0.5 Divide each side by '-0.8'. x = 0.625 Simplifying x = 0.625
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