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Simplifying 0.70x + 0.3(45 + -1x) = 0.45 * 80 0.70x + (45 * 0.3 + -1x * 0.3) = 0.45 * 80 0.70x + (13.5 + -0.3x) = 0.45 * 80 Reorder the terms: 13.5 + 0.70x + -0.3x = 0.45 * 80 Combine like terms: 0.70x + -0.3x = 0.4x 13.5 + 0.4x = 0.45 * 80 Multiply 0.45 * 80 13.5 + 0.4x = 36 Solving 13.5 + 0.4x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.5' to each side of the equation. 13.5 + -13.5 + 0.4x = 36 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 0.4x = 36 + -13.5 0.4x = 36 + -13.5 Combine like terms: 36 + -13.5 = 22.5 0.4x = 22.5 Divide each side by '0.4'. x = 56.25 Simplifying x = 56.25
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