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Simplifying 42 + 12x + -4 = 17x + 18 Reorder the terms: 42 + -4 + 12x = 17x + 18 Combine like terms: 42 + -4 = 38 38 + 12x = 17x + 18 Reorder the terms: 38 + 12x = 18 + 17x Solving 38 + 12x = 18 + 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 = 18 + 17x + -17x Combine like terms: 12x + -17x = -5x 38 + -5x = 18 + 17x + -17x Combine like terms: 17x + -17x = 0 38 + -5x = 18 + 0 38 + -5x = 18 Add '-38' to each side of the equation. 38 + -38 + -5x = 18 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = 18 + -38 -5x = 18 + -38 Combine like terms: 18 + -38 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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