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Simplifying 18x + 30(50 + -1x) = 27(50) 18x + (50 * 30 + -1x * 30) = 27(50) 18x + (1500 + -30x) = 27(50) Reorder the terms: 1500 + 18x + -30x = 27(50) Combine like terms: 18x + -30x = -12x 1500 + -12x = 27(50) Multiply 27 * 50 1500 + -12x = 1350 Solving 1500 + -12x = 1350 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -1500 + -12x = 1350 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -12x = 1350 + -1500 -12x = 1350 + -1500 Combine like terms: 1350 + -1500 = -150 -12x = -150 Divide each side by '-12'. x = 12.5 Simplifying x = 12.5
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