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Simplifying 34 = 3x + 4(x + 5) Reorder the terms: 34 = 3x + 4(5 + x) 34 = 3x + (5 * 4 + x * 4) 34 = 3x + (20 + 4x) Reorder the terms: 34 = 20 + 3x + 4x Combine like terms: 3x + 4x = 7x 34 = 20 + 7x Solving 34 = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 34 + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 34 + -7x = 20 + 0 34 + -7x = 20 Add '-34' to each side of the equation. 34 + -34 + -7x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -7x = 20 + -34 -7x = 20 + -34 Combine like terms: 20 + -34 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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