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Simplifying 3(3x + 2) + 2(4x + 3) = 63 Reorder the terms: 3(2 + 3x) + 2(4x + 3) = 63 (2 * 3 + 3x * 3) + 2(4x + 3) = 63 (6 + 9x) + 2(4x + 3) = 63 Reorder the terms: 6 + 9x + 2(3 + 4x) = 63 6 + 9x + (3 * 2 + 4x * 2) = 63 6 + 9x + (6 + 8x) = 63 Reorder the terms: 6 + 6 + 9x + 8x = 63 Combine like terms: 6 + 6 = 12 12 + 9x + 8x = 63 Combine like terms: 9x + 8x = 17x 12 + 17x = 63 Solving 12 + 17x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 17x = 63 + -12 Combine like terms: 12 + -12 = 0 0 + 17x = 63 + -12 17x = 63 + -12 Combine like terms: 63 + -12 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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