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Simplifying 0.15(8 + -1x) + x = 0.40(8) (8 * 0.15 + -1x * 0.15) + x = 0.40(8) (1.2 + -0.15x) + x = 0.40(8) Combine like terms: -0.15x + x = 0.85x 1.2 + 0.85x = 0.40(8) Multiply 0.40 * 8 1.2 + 0.85x = 3.2 Solving 1.2 + 0.85x = 3.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.85x = 3.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.85x = 3.2 + -1.2 0.85x = 3.2 + -1.2 Combine like terms: 3.2 + -1.2 = 2 0.85x = 2 Divide each side by '0.85'. x = 2.352941176 Simplifying x = 2.352941176
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