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Simplifying 9(2x + 4) = 7(9x + 3) + 7 Reorder the terms: 9(4 + 2x) = 7(9x + 3) + 7 (4 * 9 + 2x * 9) = 7(9x + 3) + 7 (36 + 18x) = 7(9x + 3) + 7 Reorder the terms: 36 + 18x = 7(3 + 9x) + 7 36 + 18x = (3 * 7 + 9x * 7) + 7 36 + 18x = (21 + 63x) + 7 Reorder the terms: 36 + 18x = 21 + 7 + 63x Combine like terms: 21 + 7 = 28 36 + 18x = 28 + 63x Solving 36 + 18x = 28 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 36 + 18x + -63x = 28 + 63x + -63x Combine like terms: 18x + -63x = -45x 36 + -45x = 28 + 63x + -63x Combine like terms: 63x + -63x = 0 36 + -45x = 28 + 0 36 + -45x = 28 Add '-36' to each side of the equation. 36 + -36 + -45x = 28 + -36 Combine like terms: 36 + -36 = 0 0 + -45x = 28 + -36 -45x = 28 + -36 Combine like terms: 28 + -36 = -8 -45x = -8 Divide each side by '-45'. x = 0.1777777778 Simplifying x = 0.1777777778
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