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Simplifying 0.80 + -0.40(40 + x) = -0.10(40) 0.80 + (40 * -0.40 + x * -0.40) = -0.10(40) 0.80 + (-16 + -0.40x) = -0.10(40) Combine like terms: 0.80 + -16 = -15.2 -15.2 + -0.40x = -0.10(40) Multiply -0.10 * 40 -15.2 + -0.40x = -4 Solving -15.2 + -0.40x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15.2' to each side of the equation. -15.2 + 15.2 + -0.40x = -4 + 15.2 Combine like terms: -15.2 + 15.2 = 0.0 0.0 + -0.40x = -4 + 15.2 -0.40x = -4 + 15.2 Combine like terms: -4 + 15.2 = 11.2 -0.40x = 11.2 Divide each side by '-0.40'. x = -28 Simplifying x = -28
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