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Simplifying 2x + 34 = 2(3x + 4) + 2 Reorder the terms: 34 + 2x = 2(3x + 4) + 2 Reorder the terms: 34 + 2x = 2(4 + 3x) + 2 34 + 2x = (4 * 2 + 3x * 2) + 2 34 + 2x = (8 + 6x) + 2 Reorder the terms: 34 + 2x = 8 + 2 + 6x Combine like terms: 8 + 2 = 10 34 + 2x = 10 + 6x Solving 34 + 2x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 34 + 2x + -6x = 10 + 6x + -6x Combine like terms: 2x + -6x = -4x 34 + -4x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + -4x = 10 + 0 34 + -4x = 10 Add '-34' to each side of the equation. 34 + -34 + -4x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = 10 + -34 -4x = 10 + -34 Combine like terms: 10 + -34 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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