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Simplifying 30(x + 4) = 5(66 + -5x) Reorder the terms: 30(4 + x) = 5(66 + -5x) (4 * 30 + x * 30) = 5(66 + -5x) (120 + 30x) = 5(66 + -5x) 120 + 30x = (66 * 5 + -5x * 5) 120 + 30x = (330 + -25x) Solving 120 + 30x = 330 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 120 + 30x + 25x = 330 + -25x + 25x Combine like terms: 30x + 25x = 55x 120 + 55x = 330 + -25x + 25x Combine like terms: -25x + 25x = 0 120 + 55x = 330 + 0 120 + 55x = 330 Add '-120' to each side of the equation. 120 + -120 + 55x = 330 + -120 Combine like terms: 120 + -120 = 0 0 + 55x = 330 + -120 55x = 330 + -120 Combine like terms: 330 + -120 = 210 55x = 210 Divide each side by '55'. x = 3.818181818 Simplifying x = 3.818181818
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