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