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Simplifying 17x + 8 = 42 + (12x + -4) Reorder the terms: 8 + 17x = 42 + (12x + -4) Reorder the terms: 8 + 17x = 42 + (-4 + 12x) Remove parenthesis around (-4 + 12x) 8 + 17x = 42 + -4 + 12x Combine like terms: 42 + -4 = 38 8 + 17x = 38 + 12x Solving 8 + 17x = 38 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 17x + -12x = 38 + 12x + -12x Combine like terms: 17x + -12x = 5x 8 + 5x = 38 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 5x = 38 + 0 8 + 5x = 38 Add '-8' to each side of the equation. 8 + -8 + 5x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 38 + -8 5x = 38 + -8 Combine like terms: 38 + -8 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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