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Simplifying 3(x + -2) + -2(x + -4) = 3 Reorder the terms: 3(-2 + x) + -2(x + -4) = 3 (-2 * 3 + x * 3) + -2(x + -4) = 3 (-6 + 3x) + -2(x + -4) = 3 Reorder the terms: -6 + 3x + -2(-4 + x) = 3 -6 + 3x + (-4 * -2 + x * -2) = 3 -6 + 3x + (8 + -2x) = 3 Reorder the terms: -6 + 8 + 3x + -2x = 3 Combine like terms: -6 + 8 = 2 2 + 3x + -2x = 3 Combine like terms: 3x + -2x = 1x 2 + 1x = 3 Solving 2 + 1x = 3 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 + 1x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 3 + -2 1x = 3 + -2 Combine like terms: 3 + -2 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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