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Simplifying -4(x + 1) + 4(2x + -2) = 0 Reorder the terms: -4(1 + x) + 4(2x + -2) = 0 (1 * -4 + x * -4) + 4(2x + -2) = 0 (-4 + -4x) + 4(2x + -2) = 0 Reorder the terms: -4 + -4x + 4(-2 + 2x) = 0 -4 + -4x + (-2 * 4 + 2x * 4) = 0 -4 + -4x + (-8 + 8x) = 0 Reorder the terms: -4 + -8 + -4x + 8x = 0 Combine like terms: -4 + -8 = -12 -12 + -4x + 8x = 0 Combine like terms: -4x + 8x = 4x -12 + 4x = 0 Solving -12 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 0 + 12 4x = 0 + 12 Combine like terms: 0 + 12 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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