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Simplifying 4(x + -3) + -4(2 + -2x) = -8 Reorder the terms: 4(-3 + x) + -4(2 + -2x) = -8 (-3 * 4 + x * 4) + -4(2 + -2x) = -8 (-12 + 4x) + -4(2 + -2x) = -8 -12 + 4x + (2 * -4 + -2x * -4) = -8 -12 + 4x + (-8 + 8x) = -8 Reorder the terms: -12 + -8 + 4x + 8x = -8 Combine like terms: -12 + -8 = -20 -20 + 4x + 8x = -8 Combine like terms: 4x + 8x = 12x -20 + 12x = -8 Solving -20 + 12x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 12x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = -8 + 20 12x = -8 + 20 Combine like terms: -8 + 20 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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