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Simplifying 4(5x + 30) = 14x + 30 Reorder the terms: 4(30 + 5x) = 14x + 30 (30 * 4 + 5x * 4) = 14x + 30 (120 + 20x) = 14x + 30 Reorder the terms: 120 + 20x = 30 + 14x Solving 120 + 20x = 30 + 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. 120 + 20x + -14x = 30 + 14x + -14x Combine like terms: 20x + -14x = 6x 120 + 6x = 30 + 14x + -14x Combine like terms: 14x + -14x = 0 120 + 6x = 30 + 0 120 + 6x = 30 Add '-120' to each side of the equation. 120 + -120 + 6x = 30 + -120 Combine like terms: 120 + -120 = 0 0 + 6x = 30 + -120 6x = 30 + -120 Combine like terms: 30 + -120 = -90 6x = -90 Divide each side by '6'. x = -15 Simplifying x = -15
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