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Simplifying 6x + 34 = 2(5x + 3) Reorder the terms: 34 + 6x = 2(5x + 3) Reorder the terms: 34 + 6x = 2(3 + 5x) 34 + 6x = (3 * 2 + 5x * 2) 34 + 6x = (6 + 10x) Solving 34 + 6x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + 6x + -10x = 6 + 10x + -10x Combine like terms: 6x + -10x = -4x 34 + -4x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 34 + -4x = 6 + 0 34 + -4x = 6 Add '-34' to each side of the equation. 34 + -34 + -4x = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = 6 + -34 -4x = 6 + -34 Combine like terms: 6 + -34 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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