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Simplifying 2x + 19 + 5x + -8 = 3x + 35 Reorder the terms: 19 + -8 + 2x + 5x = 3x + 35 Combine like terms: 19 + -8 = 11 11 + 2x + 5x = 3x + 35 Combine like terms: 2x + 5x = 7x 11 + 7x = 3x + 35 Reorder the terms: 11 + 7x = 35 + 3x Solving 11 + 7x = 35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 7x + -3x = 35 + 3x + -3x Combine like terms: 7x + -3x = 4x 11 + 4x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 4x = 35 + 0 11 + 4x = 35 Add '-11' to each side of the equation. 11 + -11 + 4x = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 35 + -11 4x = 35 + -11 Combine like terms: 35 + -11 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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