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Simplifying 5(-30x + 20) = 23(10 + -9x) Reorder the terms: 5(20 + -30x) = 23(10 + -9x) (20 * 5 + -30x * 5) = 23(10 + -9x) (100 + -150x) = 23(10 + -9x) 100 + -150x = (10 * 23 + -9x * 23) 100 + -150x = (230 + -207x) Solving 100 + -150x = 230 + -207x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '207x' to each side of the equation. 100 + -150x + 207x = 230 + -207x + 207x Combine like terms: -150x + 207x = 57x 100 + 57x = 230 + -207x + 207x Combine like terms: -207x + 207x = 0 100 + 57x = 230 + 0 100 + 57x = 230 Add '-100' to each side of the equation. 100 + -100 + 57x = 230 + -100 Combine like terms: 100 + -100 = 0 0 + 57x = 230 + -100 57x = 230 + -100 Combine like terms: 230 + -100 = 130 57x = 130 Divide each side by '57'. x = 2.280701754 Simplifying x = 2.280701754
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