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Simplifying 2x + 34 = 4(4x + 5) Reorder the terms: 34 + 2x = 4(4x + 5) Reorder the terms: 34 + 2x = 4(5 + 4x) 34 + 2x = (5 * 4 + 4x * 4) 34 + 2x = (20 + 16x) Solving 34 + 2x = 20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 34 + 2x + -16x = 20 + 16x + -16x Combine like terms: 2x + -16x = -14x 34 + -14x = 20 + 16x + -16x Combine like terms: 16x + -16x = 0 34 + -14x = 20 + 0 34 + -14x = 20 Add '-34' to each side of the equation. 34 + -34 + -14x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -14x = 20 + -34 -14x = 20 + -34 Combine like terms: 20 + -34 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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