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Simplifying 34 + -2x = 2(5 + 3x) 34 + -2x = (5 * 2 + 3x * 2) 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 = -8x 34 + -8x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + -8x = 10 + 0 34 + -8x = 10 Add '-34' to each side of the equation. 34 + -34 + -8x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -8x = 10 + -34 -8x = 10 + -34 Combine like terms: 10 + -34 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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