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Simplifying 4(22x + 7) = 12(37 + 3x) Reorder the terms: 4(7 + 22x) = 12(37 + 3x) (7 * 4 + 22x * 4) = 12(37 + 3x) (28 + 88x) = 12(37 + 3x) 28 + 88x = (37 * 12 + 3x * 12) 28 + 88x = (444 + 36x) Solving 28 + 88x = 444 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 28 + 88x + -36x = 444 + 36x + -36x Combine like terms: 88x + -36x = 52x 28 + 52x = 444 + 36x + -36x Combine like terms: 36x + -36x = 0 28 + 52x = 444 + 0 28 + 52x = 444 Add '-28' to each side of the equation. 28 + -28 + 52x = 444 + -28 Combine like terms: 28 + -28 = 0 0 + 52x = 444 + -28 52x = 444 + -28 Combine like terms: 444 + -28 = 416 52x = 416 Divide each side by '52'. x = 8 Simplifying x = 8
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