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Simplifying (17x + 8) + -1(12x + -4) = 42 Reorder the terms: (8 + 17x) + -1(12x + -4) = 42 Remove parenthesis around (8 + 17x) 8 + 17x + -1(12x + -4) = 42 Reorder the terms: 8 + 17x + -1(-4 + 12x) = 42 8 + 17x + (-4 * -1 + 12x * -1) = 42 8 + 17x + (4 + -12x) = 42 Reorder the terms: 8 + 4 + 17x + -12x = 42 Combine like terms: 8 + 4 = 12 12 + 17x + -12x = 42 Combine like terms: 17x + -12x = 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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