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Simplifying 9x + -1(3x + -12) = 42 Reorder the terms: 9x + -1(-12 + 3x) = 42 9x + (-12 * -1 + 3x * -1) = 42 9x + (12 + -3x) = 42 Reorder the terms: 12 + 9x + -3x = 42 Combine like terms: 9x + -3x = 6x 12 + 6x = 42 Solving 12 + 6x = 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 + 6x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 42 + -12 6x = 42 + -12 Combine like terms: 42 + -12 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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