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Simplifying 5(1 + 4x) + 4 = -30 + 7x (1 * 5 + 4x * 5) + 4 = -30 + 7x (5 + 20x) + 4 = -30 + 7x Reorder the terms: 5 + 4 + 20x = -30 + 7x Combine like terms: 5 + 4 = 9 9 + 20x = -30 + 7x Solving 9 + 20x = -30 + 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. 9 + 20x + -7x = -30 + 7x + -7x Combine like terms: 20x + -7x = 13x 9 + 13x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + 13x = -30 + 0 9 + 13x = -30 Add '-9' to each side of the equation. 9 + -9 + 13x = -30 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = -30 + -9 13x = -30 + -9 Combine like terms: -30 + -9 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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