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