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Simplifying 5x + 19 = 61 + -2x Reorder the terms: 19 + 5x = 61 + -2x Solving 19 + 5x = 61 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 19 + 5x + 2x = 61 + -2x + 2x Combine like terms: 5x + 2x = 7x 19 + 7x = 61 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + 7x = 61 + 0 19 + 7x = 61 Add '-19' to each side of the equation. 19 + -19 + 7x = 61 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = 61 + -19 7x = 61 + -19 Combine like terms: 61 + -19 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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