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Simplifying 4(5x + 3) + 5 = 13x + 3 Reorder the terms: 4(3 + 5x) + 5 = 13x + 3 (3 * 4 + 5x * 4) + 5 = 13x + 3 (12 + 20x) + 5 = 13x + 3 Reorder the terms: 12 + 5 + 20x = 13x + 3 Combine like terms: 12 + 5 = 17 17 + 20x = 13x + 3 Reorder the terms: 17 + 20x = 3 + 13x Solving 17 + 20x = 3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 17 + 20x + -13x = 3 + 13x + -13x Combine like terms: 20x + -13x = 7x 17 + 7x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 17 + 7x = 3 + 0 17 + 7x = 3 Add '-17' to each side of the equation. 17 + -17 + 7x = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 3 + -17 7x = 3 + -17 Combine like terms: 3 + -17 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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