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Simplifying 3(x + -2) + 4(x + 1) = 12 Reorder the terms: 3(-2 + x) + 4(x + 1) = 12 (-2 * 3 + x * 3) + 4(x + 1) = 12 (-6 + 3x) + 4(x + 1) = 12 Reorder the terms: -6 + 3x + 4(1 + x) = 12 -6 + 3x + (1 * 4 + x * 4) = 12 -6 + 3x + (4 + 4x) = 12 Reorder the terms: -6 + 4 + 3x + 4x = 12 Combine like terms: -6 + 4 = -2 -2 + 3x + 4x = 12 Combine like terms: 3x + 4x = 7x -2 + 7x = 12 Solving -2 + 7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 12 + 2 7x = 12 + 2 Combine like terms: 12 + 2 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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