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Simplifying 13 + 2(3x + 1) = 9x + 12 Reorder the terms: 13 + 2(1 + 3x) = 9x + 12 13 + (1 * 2 + 3x * 2) = 9x + 12 13 + (2 + 6x) = 9x + 12 Combine like terms: 13 + 2 = 15 15 + 6x = 9x + 12 Reorder the terms: 15 + 6x = 12 + 9x Solving 15 + 6x = 12 + 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. 15 + 6x + -9x = 12 + 9x + -9x Combine like terms: 6x + -9x = -3x 15 + -3x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -3x = 12 + 0 15 + -3x = 12 Add '-15' to each side of the equation. 15 + -15 + -3x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 12 + -15 -3x = 12 + -15 Combine like terms: 12 + -15 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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