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Simplifying 3(3x + 2) = 8x + 13 Reorder the terms: 3(2 + 3x) = 8x + 13 (2 * 3 + 3x * 3) = 8x + 13 (6 + 9x) = 8x + 13 Reorder the terms: 6 + 9x = 13 + 8x Solving 6 + 9x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 9x + -8x = 13 + 8x + -8x Combine like terms: 9x + -8x = 1x 6 + 1x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 1x = 13 + 0 6 + 1x = 13 Add '-6' to each side of the equation. 6 + -6 + 1x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 13 + -6 1x = 13 + -6 Combine like terms: 13 + -6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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