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