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Simplifying 4x + -2(-5 + -4x) = 106 4x + (-5 * -2 + -4x * -2) = 106 4x + (10 + 8x) = 106 Reorder the terms: 10 + 4x + 8x = 106 Combine like terms: 4x + 8x = 12x 10 + 12x = 106 Solving 10 + 12x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12x = 106 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 106 + -10 12x = 106 + -10 Combine like terms: 106 + -10 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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