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Simplifying 0.80x + -0.40(40 + x) = -0.10(40) 0.80x + (40 * -0.40 + x * -0.40) = -0.10(40) 0.80x + (-16 + -0.40x) = -0.10(40) Reorder the terms: -16 + 0.80x + -0.40x = -0.10(40) Combine like terms: 0.80x + -0.40x = 0.4x -16 + 0.4x = -0.10(40) Multiply -0.10 * 40 -16 + 0.4x = -4 Solving -16 + 0.4x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 0.4x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 0.4x = -4 + 16 0.4x = -4 + 16 Combine like terms: -4 + 16 = 12 0.4x = 12 Divide each side by '0.4'. x = 30 Simplifying x = 30
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