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Simplifying 0.72(x) + 0.54(30 + -1x) = 30(6) 0.72x + (30 * 0.54 + -1x * 0.54) = 30(6) 0.72x + (16.2 + -0.54x) = 30(6) Reorder the terms: 16.2 + 0.72x + -0.54x = 30(6) Combine like terms: 0.72x + -0.54x = 0.18x 16.2 + 0.18x = 30(6) Multiply 30 * 6 16.2 + 0.18x = 180 Solving 16.2 + 0.18x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.2' to each side of the equation. 16.2 + -16.2 + 0.18x = 180 + -16.2 Combine like terms: 16.2 + -16.2 = 0.0 0.0 + 0.18x = 180 + -16.2 0.18x = 180 + -16.2 Combine like terms: 180 + -16.2 = 163.8 0.18x = 163.8 Divide each side by '0.18'. x = 910 Simplifying x = 910
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