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Simplifying 3x + -1(8x + -12) = 42 Reorder the terms: 3x + -1(-12 + 8x) = 42 3x + (-12 * -1 + 8x * -1) = 42 3x + (12 + -8x) = 42 Reorder the terms: 12 + 3x + -8x = 42 Combine like terms: 3x + -8x = -5x 12 + -5x = 42 Solving 12 + -5x = 42 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 + -5x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 42 + -12 -5x = 42 + -12 Combine like terms: 42 + -12 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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