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Simplifying 0.15(10 + -1x) + x = 0.40(10) (10 * 0.15 + -1x * 0.15) + x = 0.40(10) (1.5 + -0.15x) + x = 0.40(10) Combine like terms: -0.15x + x = 0.85x 1.5 + 0.85x = 0.40(10) Multiply 0.40 * 10 1.5 + 0.85x = 4 Solving 1.5 + 0.85x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.85x = 4 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.85x = 4 + -1.5 0.85x = 4 + -1.5 Combine like terms: 4 + -1.5 = 2.5 0.85x = 2.5 Divide each side by '0.85'. x = 2.941176471 Simplifying x = 2.941176471
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