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Simplifying x + 19 = 3(12 + -7x) Reorder the terms: 19 + x = 3(12 + -7x) 19 + x = (12 * 3 + -7x * 3) 19 + x = (36 + -21x) Solving 19 + x = 36 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 19 + x + 21x = 36 + -21x + 21x Combine like terms: x + 21x = 22x 19 + 22x = 36 + -21x + 21x Combine like terms: -21x + 21x = 0 19 + 22x = 36 + 0 19 + 22x = 36 Add '-19' to each side of the equation. 19 + -19 + 22x = 36 + -19 Combine like terms: 19 + -19 = 0 0 + 22x = 36 + -19 22x = 36 + -19 Combine like terms: 36 + -19 = 17 22x = 17 Divide each side by '22'. x = 0.7727272727 Simplifying x = 0.7727272727
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