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Simplifying 3(x + -2) + -2(x + 1) = 12 Reorder the terms: 3(-2 + x) + -2(x + 1) = 12 (-2 * 3 + x * 3) + -2(x + 1) = 12 (-6 + 3x) + -2(x + 1) = 12 Reorder the terms: -6 + 3x + -2(1 + x) = 12 -6 + 3x + (1 * -2 + x * -2) = 12 -6 + 3x + (-2 + -2x) = 12 Reorder the terms: -6 + -2 + 3x + -2x = 12 Combine like terms: -6 + -2 = -8 -8 + 3x + -2x = 12 Combine like terms: 3x + -2x = 1x -8 + 1x = 12 Solving -8 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 12 + 8 1x = 12 + 8 Combine like terms: 12 + 8 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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