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Simplifying 0.5 + -0.2(20 + x) = 1(20) 0.5 + (20 * -0.2 + x * -0.2) = 1(20) 0.5 + (-4 + -0.2x) = 1(20) Combine like terms: 0.5 + -4 = -3.5 -3.5 + -0.2x = 1(20) Multiply 1 * 20 -3.5 + -0.2x = 20 Solving -3.5 + -0.2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + -0.2x = 20 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -0.2x = 20 + 3.5 -0.2x = 20 + 3.5 Combine like terms: 20 + 3.5 = 23.5 -0.2x = 23.5 Divide each side by '-0.2'. x = -117.5 Simplifying x = -117.5
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