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Simplifying 3(x + -2) + -2(x + 2) = 12 Reorder the terms: 3(-2 + x) + -2(x + 2) = 12 (-2 * 3 + x * 3) + -2(x + 2) = 12 (-6 + 3x) + -2(x + 2) = 12 Reorder the terms: -6 + 3x + -2(2 + x) = 12 -6 + 3x + (2 * -2 + x * -2) = 12 -6 + 3x + (-4 + -2x) = 12 Reorder the terms: -6 + -4 + 3x + -2x = 12 Combine like terms: -6 + -4 = -10 -10 + 3x + -2x = 12 Combine like terms: 3x + -2x = 1x -10 + 1x = 12 Solving -10 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 12 + 10 1x = 12 + 10 Combine like terms: 12 + 10 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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