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Simplifying -4(2 + x) + -2(x + 3) = 4 (2 * -4 + x * -4) + -2(x + 3) = 4 (-8 + -4x) + -2(x + 3) = 4 Reorder the terms: -8 + -4x + -2(3 + x) = 4 -8 + -4x + (3 * -2 + x * -2) = 4 -8 + -4x + (-6 + -2x) = 4 Reorder the terms: -8 + -6 + -4x + -2x = 4 Combine like terms: -8 + -6 = -14 -14 + -4x + -2x = 4 Combine like terms: -4x + -2x = -6x -14 + -6x = 4 Solving -14 + -6x = 4 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 + -6x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = 4 + 14 -6x = 4 + 14 Combine like terms: 4 + 14 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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