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Simplifying 34(2x + -1) = 6(x + 3) + 3x Reorder the terms: 34(-1 + 2x) = 6(x + 3) + 3x (-1 * 34 + 2x * 34) = 6(x + 3) + 3x (-34 + 68x) = 6(x + 3) + 3x Reorder the terms: -34 + 68x = 6(3 + x) + 3x -34 + 68x = (3 * 6 + x * 6) + 3x -34 + 68x = (18 + 6x) + 3x Combine like terms: 6x + 3x = 9x -34 + 68x = 18 + 9x Solving -34 + 68x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -34 + 68x + -9x = 18 + 9x + -9x Combine like terms: 68x + -9x = 59x -34 + 59x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -34 + 59x = 18 + 0 -34 + 59x = 18 Add '34' to each side of the equation. -34 + 34 + 59x = 18 + 34 Combine like terms: -34 + 34 = 0 0 + 59x = 18 + 34 59x = 18 + 34 Combine like terms: 18 + 34 = 52 59x = 52 Divide each side by '59'. x = 0.8813559322 Simplifying x = 0.8813559322
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