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Simplifying 4(5x + 3) + 5 = -22 + 7x Reorder the terms: 4(3 + 5x) + 5 = -22 + 7x (3 * 4 + 5x * 4) + 5 = -22 + 7x (12 + 20x) + 5 = -22 + 7x Reorder the terms: 12 + 5 + 20x = -22 + 7x Combine like terms: 12 + 5 = 17 17 + 20x = -22 + 7x Solving 17 + 20x = -22 + 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. 17 + 20x + -7x = -22 + 7x + -7x Combine like terms: 20x + -7x = 13x 17 + 13x = -22 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + 13x = -22 + 0 17 + 13x = -22 Add '-17' to each side of the equation. 17 + -17 + 13x = -22 + -17 Combine like terms: 17 + -17 = 0 0 + 13x = -22 + -17 13x = -22 + -17 Combine like terms: -22 + -17 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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