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Simplifying 5x + 34 = 2(x + 5) Reorder the terms: 34 + 5x = 2(x + 5) Reorder the terms: 34 + 5x = 2(5 + x) 34 + 5x = (5 * 2 + x * 2) 34 + 5x = (10 + 2x) Solving 34 + 5x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 34 + 5x + -2x = 10 + 2x + -2x Combine like terms: 5x + -2x = 3x 34 + 3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + 3x = 10 + 0 34 + 3x = 10 Add '-34' to each side of the equation. 34 + -34 + 3x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = 10 + -34 3x = 10 + -34 Combine like terms: 10 + -34 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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