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Simplifying 34 + -6x = 3x + 21 Reorder the terms: 34 + -6x = 21 + 3x Solving 34 + -6x = 21 + 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. 34 + -6x + -3x = 21 + 3x + -3x Combine like terms: -6x + -3x = -9x 34 + -9x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + -9x = 21 + 0 34 + -9x = 21 Add '-34' to each side of the equation. 34 + -34 + -9x = 21 + -34 Combine like terms: 34 + -34 = 0 0 + -9x = 21 + -34 -9x = 21 + -34 Combine like terms: 21 + -34 = -13 -9x = -13 Divide each side by '-9'. x = 1.444444444 Simplifying x = 1.444444444
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