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Simplifying 4(5x + 4) + 34 = 14x + -4 Reorder the terms: 4(4 + 5x) + 34 = 14x + -4 (4 * 4 + 5x * 4) + 34 = 14x + -4 (16 + 20x) + 34 = 14x + -4 Reorder the terms: 16 + 34 + 20x = 14x + -4 Combine like terms: 16 + 34 = 50 50 + 20x = 14x + -4 Reorder the terms: 50 + 20x = -4 + 14x Solving 50 + 20x = -4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 50 + 20x + -14x = -4 + 14x + -14x Combine like terms: 20x + -14x = 6x 50 + 6x = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 50 + 6x = -4 + 0 50 + 6x = -4 Add '-50' to each side of the equation. 50 + -50 + 6x = -4 + -50 Combine like terms: 50 + -50 = 0 0 + 6x = -4 + -50 6x = -4 + -50 Combine like terms: -4 + -50 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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