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Simplifying 12x + 34 = 19x + 13 Reorder the terms: 34 + 12x = 19x + 13 Reorder the terms: 34 + 12x = 13 + 19x Solving 34 + 12x = 13 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 34 + 12x + -19x = 13 + 19x + -19x Combine like terms: 12x + -19x = -7x 34 + -7x = 13 + 19x + -19x Combine like terms: 19x + -19x = 0 34 + -7x = 13 + 0 34 + -7x = 13 Add '-34' to each side of the equation. 34 + -34 + -7x = 13 + -34 Combine like terms: 34 + -34 = 0 0 + -7x = 13 + -34 -7x = 13 + -34 Combine like terms: 13 + -34 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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