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Simplifying 19x + 10 = 12x + 45 Reorder the terms: 10 + 19x = 12x + 45 Reorder the terms: 10 + 19x = 45 + 12x Solving 10 + 19x = 45 + 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. 10 + 19x + -12x = 45 + 12x + -12x Combine like terms: 19x + -12x = 7x 10 + 7x = 45 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 7x = 45 + 0 10 + 7x = 45 Add '-10' to each side of the equation. 10 + -10 + 7x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 45 + -10 7x = 45 + -10 Combine like terms: 45 + -10 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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