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Simplifying -19x + 52 = -12x + 31 Reorder the terms: 52 + -19x = -12x + 31 Reorder the terms: 52 + -19x = 31 + -12x Solving 52 + -19x = 31 + -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. 52 + -19x + 12x = 31 + -12x + 12x Combine like terms: -19x + 12x = -7x 52 + -7x = 31 + -12x + 12x Combine like terms: -12x + 12x = 0 52 + -7x = 31 + 0 52 + -7x = 31 Add '-52' to each side of the equation. 52 + -52 + -7x = 31 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = 31 + -52 -7x = 31 + -52 Combine like terms: 31 + -52 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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