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Simplifying 4(-3x + 4) + -4(2x + -2) = 164 Reorder the terms: 4(4 + -3x) + -4(2x + -2) = 164 (4 * 4 + -3x * 4) + -4(2x + -2) = 164 (16 + -12x) + -4(2x + -2) = 164 Reorder the terms: 16 + -12x + -4(-2 + 2x) = 164 16 + -12x + (-2 * -4 + 2x * -4) = 164 16 + -12x + (8 + -8x) = 164 Reorder the terms: 16 + 8 + -12x + -8x = 164 Combine like terms: 16 + 8 = 24 24 + -12x + -8x = 164 Combine like terms: -12x + -8x = -20x 24 + -20x = 164 Solving 24 + -20x = 164 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -20x = 164 + -24 Combine like terms: 24 + -24 = 0 0 + -20x = 164 + -24 -20x = 164 + -24 Combine like terms: 164 + -24 = 140 -20x = 140 Divide each side by '-20'. x = -7 Simplifying x = -7
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