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Simplifying 19x + 5 = 12x + 47 Reorder the terms: 5 + 19x = 12x + 47 Reorder the terms: 5 + 19x = 47 + 12x Solving 5 + 19x = 47 + 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. 5 + 19x + -12x = 47 + 12x + -12x Combine like terms: 19x + -12x = 7x 5 + 7x = 47 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + 7x = 47 + 0 5 + 7x = 47 Add '-5' to each side of the equation. 5 + -5 + 7x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 47 + -5 7x = 47 + -5 Combine like terms: 47 + -5 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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