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Simplifying 4(x + -2) + -2(x + 3) = -2 Reorder the terms: 4(-2 + x) + -2(x + 3) = -2 (-2 * 4 + x * 4) + -2(x + 3) = -2 (-8 + 4x) + -2(x + 3) = -2 Reorder the terms: -8 + 4x + -2(3 + x) = -2 -8 + 4x + (3 * -2 + x * -2) = -2 -8 + 4x + (-6 + -2x) = -2 Reorder the terms: -8 + -6 + 4x + -2x = -2 Combine like terms: -8 + -6 = -14 -14 + 4x + -2x = -2 Combine like terms: 4x + -2x = 2x -14 + 2x = -2 Solving -14 + 2x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -2 + 14 2x = -2 + 14 Combine like terms: -2 + 14 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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