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Simplifying 12x + -2(4x + -5) = 42 Reorder the terms: 12x + -2(-5 + 4x) = 42 12x + (-5 * -2 + 4x * -2) = 42 12x + (10 + -8x) = 42 Reorder the terms: 10 + 12x + -8x = 42 Combine like terms: 12x + -8x = 4x 10 + 4x = 42 Solving 10 + 4x = 42 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 + 4x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 42 + -10 4x = 42 + -10 Combine like terms: 42 + -10 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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