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Simplifying 2(5x + 4) + x = 34 + -2x Reorder the terms: 2(4 + 5x) + x = 34 + -2x (4 * 2 + 5x * 2) + x = 34 + -2x (8 + 10x) + x = 34 + -2x Combine like terms: 10x + x = 11x 8 + 11x = 34 + -2x Solving 8 + 11x = 34 + -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. 8 + 11x + 2x = 34 + -2x + 2x Combine like terms: 11x + 2x = 13x 8 + 13x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 13x = 34 + 0 8 + 13x = 34 Add '-8' to each side of the equation. 8 + -8 + 13x = 34 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 34 + -8 13x = 34 + -8 Combine like terms: 34 + -8 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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