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Simplifying 19x + -31 = 12x + 74 Reorder the terms: -31 + 19x = 12x + 74 Reorder the terms: -31 + 19x = 74 + 12x Solving -31 + 19x = 74 + 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. -31 + 19x + -12x = 74 + 12x + -12x Combine like terms: 19x + -12x = 7x -31 + 7x = 74 + 12x + -12x Combine like terms: 12x + -12x = 0 -31 + 7x = 74 + 0 -31 + 7x = 74 Add '31' to each side of the equation. -31 + 31 + 7x = 74 + 31 Combine like terms: -31 + 31 = 0 0 + 7x = 74 + 31 7x = 74 + 31 Combine like terms: 74 + 31 = 105 7x = 105 Divide each side by '7'. x = 15 Simplifying x = 15
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