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Simplifying 28 + 19x = 35 + 12x Solving 28 + 19x = 35 + 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. 28 + 19x + -12x = 35 + 12x + -12x Combine like terms: 19x + -12x = 7x 28 + 7x = 35 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + 7x = 35 + 0 28 + 7x = 35 Add '-28' to each side of the equation. 28 + -28 + 7x = 35 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = 35 + -28 7x = 35 + -28 Combine like terms: 35 + -28 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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