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Simplifying 150 = x(22) + x(30) Reorder the terms for easier multiplication: 150 = 22x + x(30) Reorder the terms for easier multiplication: 150 = 22x + 30x Combine like terms: 22x + 30x = 52x 150 = 52x Solving 150 = 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 150 + -52x = 52x + -52x Combine like terms: 52x + -52x = 0 150 + -52x = 0 Add '-150' to each side of the equation. 150 + -150 + -52x = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -52x = 0 + -150 -52x = 0 + -150 Combine like terms: 0 + -150 = -150 -52x = -150 Divide each side by '-52'. x = 2.884615385 Simplifying x = 2.884615385
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