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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 = -1 -1 + 3x + 7x = 12 Combine like terms: 3x + 7x = 10x -1 + 10x = 12 Solving -1 + 10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = 12 + 1 10x = 12 + 1 Combine like terms: 12 + 1 = 13 10x = 13 Divide each side by '10'. x = 1.3 Simplifying x = 1.3
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