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Simplifying 9(7x + 7) = 2(12x + 5) Reorder the terms: 9(7 + 7x) = 2(12x + 5) (7 * 9 + 7x * 9) = 2(12x + 5) (63 + 63x) = 2(12x + 5) Reorder the terms: 63 + 63x = 2(5 + 12x) 63 + 63x = (5 * 2 + 12x * 2) 63 + 63x = (10 + 24x) Solving 63 + 63x = 10 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 63 + 63x + -24x = 10 + 24x + -24x Combine like terms: 63x + -24x = 39x 63 + 39x = 10 + 24x + -24x Combine like terms: 24x + -24x = 0 63 + 39x = 10 + 0 63 + 39x = 10 Add '-63' to each side of the equation. 63 + -63 + 39x = 10 + -63 Combine like terms: 63 + -63 = 0 0 + 39x = 10 + -63 39x = 10 + -63 Combine like terms: 10 + -63 = -53 39x = -53 Divide each side by '39'. x = -1.358974359 Simplifying x = -1.358974359
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