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Simplifying 3(x + 9) = x + 13 Reorder the terms: 3(9 + x) = x + 13 (9 * 3 + x * 3) = x + 13 (27 + 3x) = x + 13 Reorder the terms: 27 + 3x = 13 + x Solving 27 + 3x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 3x + -1x = 13 + x + -1x Combine like terms: 3x + -1x = 2x 27 + 2x = 13 + x + -1x Combine like terms: x + -1x = 0 27 + 2x = 13 + 0 27 + 2x = 13 Add '-27' to each side of the equation. 27 + -27 + 2x = 13 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 13 + -27 2x = 13 + -27 Combine like terms: 13 + -27 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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