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Simplifying 3(x + 1) + 2(x + 3) = 2x + 12 Reorder the terms: 3(1 + x) + 2(x + 3) = 2x + 12 (1 * 3 + x * 3) + 2(x + 3) = 2x + 12 (3 + 3x) + 2(x + 3) = 2x + 12 Reorder the terms: 3 + 3x + 2(3 + x) = 2x + 12 3 + 3x + (3 * 2 + x * 2) = 2x + 12 3 + 3x + (6 + 2x) = 2x + 12 Reorder the terms: 3 + 6 + 3x + 2x = 2x + 12 Combine like terms: 3 + 6 = 9 9 + 3x + 2x = 2x + 12 Combine like terms: 3x + 2x = 5x 9 + 5x = 2x + 12 Reorder the terms: 9 + 5x = 12 + 2x Solving 9 + 5x = 12 + 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. 9 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x 9 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 3x = 12 + 0 9 + 3x = 12 Add '-9' to each side of the equation. 9 + -9 + 3x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 12 + -9 3x = 12 + -9 Combine like terms: 12 + -9 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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