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Simplifying 3(x + 2) + 7(x + 1) = 12 Reorder the terms: 3(2 + x) + 7(x + 1) = 12 (2 * 3 + x * 3) + 7(x + 1) = 12 (6 + 3x) + 7(x + 1) = 12 Reorder the terms: 6 + 3x + 7(1 + x) = 12 6 + 3x + (1 * 7 + x * 7) = 12 6 + 3x + (7 + 7x) = 12 Reorder the terms: 6 + 7 + 3x + 7x = 12 Combine like terms: 6 + 7 = 13 13 + 3x + 7x = 12 Combine like terms: 3x + 7x = 10x 13 + 10x = 12 Solving 13 + 10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 10x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = 12 + -13 10x = 12 + -13 Combine like terms: 12 + -13 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1
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