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Simplifying 7x + 19 = 2x + 29 Reorder the terms: 19 + 7x = 2x + 29 Reorder the terms: 19 + 7x = 29 + 2x Solving 19 + 7x = 29 + 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 + 7x + -2x = 29 + 2x + -2x Combine like terms: 7x + -2x = 5x 19 + 5x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 5x = 29 + 0 19 + 5x = 29 Add '-19' to each side of the equation. 19 + -19 + 5x = 29 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 29 + -19 5x = 29 + -19 Combine like terms: 29 + -19 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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