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Simplifying 0.1(40) = 0.6(80 + x) + -1.0x Multiply 0.1 * 40 4 = 0.6(80 + x) + -1.0x 4 = (80 * 0.6 + x * 0.6) + -1.0x 4 = (48 + 0.6x) + -1.0x Combine like terms: 0.6x + -1.0x = -0.4x 4 = 48 + -0.4x Solving 4 = 48 + -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. 4 + 0.4x = 48 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 4 + 0.4x = 48 + 0.0 4 + 0.4x = 48 Add '-4' to each side of the equation. 4 + -4 + 0.4x = 48 + -4 Combine like terms: 4 + -4 = 0 0 + 0.4x = 48 + -4 0.4x = 48 + -4 Combine like terms: 48 + -4 = 44 0.4x = 44 Divide each side by '0.4'. x = 110 Simplifying x = 110
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