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Simplifying 0.2(40) = 0.6(60 + x) + -1.0x Multiply 0.2 * 40 8 = 0.6(60 + x) + -1.0x 8 = (60 * 0.6 + x * 0.6) + -1.0x 8 = (36 + 0.6x) + -1.0x Combine like terms: 0.6x + -1.0x = -0.4x 8 = 36 + -0.4x Solving 8 = 36 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 8 + 0.4x = 36 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 8 + 0.4x = 36 + 0.0 8 + 0.4x = 36 Add '-8' to each side of the equation. 8 + -8 + 0.4x = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 0.4x = 36 + -8 0.4x = 36 + -8 Combine like terms: 36 + -8 = 28 0.4x = 28 Divide each side by '0.4'. x = 70 Simplifying x = 70
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