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Simplifying 3(3x + 4) = 2(x + 13) Reorder the terms: 3(4 + 3x) = 2(x + 13) (4 * 3 + 3x * 3) = 2(x + 13) (12 + 9x) = 2(x + 13) Reorder the terms: 12 + 9x = 2(13 + x) 12 + 9x = (13 * 2 + x * 2) 12 + 9x = (26 + 2x) Solving 12 + 9x = 26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 9x + -2x = 26 + 2x + -2x Combine like terms: 9x + -2x = 7x 12 + 7x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 7x = 26 + 0 12 + 7x = 26 Add '-12' to each side of the equation. 12 + -12 + 7x = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 26 + -12 7x = 26 + -12 Combine like terms: 26 + -12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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