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Simplifying 0.5 + -0.3(40 + x) = 0.5(60) 0.5 + (40 * -0.3 + x * -0.3) = 0.5(60) 0.5 + (-12 + -0.3x) = 0.5(60) Combine like terms: 0.5 + -12 = -11.5 -11.5 + -0.3x = 0.5(60) Multiply 0.5 * 60 -11.5 + -0.3x = 30 Solving -11.5 + -0.3x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.5' to each side of the equation. -11.5 + 11.5 + -0.3x = 30 + 11.5 Combine like terms: -11.5 + 11.5 = 0.0 0.0 + -0.3x = 30 + 11.5 -0.3x = 30 + 11.5 Combine like terms: 30 + 11.5 = 41.5 -0.3x = 41.5 Divide each side by '-0.3'. x = -138.3333333 Simplifying x = -138.3333333
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