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Simplifying 0.30x + 0.20(240 + -1x) = 0.23(240) 0.30x + (240 * 0.20 + -1x * 0.20) = 0.23(240) 0.30x + (48 + -0.2x) = 0.23(240) Reorder the terms: 48 + 0.30x + -0.2x = 0.23(240) Combine like terms: 0.30x + -0.2x = 0.1x 48 + 0.1x = 0.23(240) Multiply 0.23 * 240 48 + 0.1x = 55.2 Solving 48 + 0.1x = 55.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 0.1x = 55.2 + -48 Combine like terms: 48 + -48 = 0 0 + 0.1x = 55.2 + -48 0.1x = 55.2 + -48 Combine like terms: 55.2 + -48 = 7.2 0.1x = 7.2 Divide each side by '0.1'. x = 72 Simplifying x = 72
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