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Simplifying 4(5x + 1) + 62 = 13x + 3 Reorder the terms: 4(1 + 5x) + 62 = 13x + 3 (1 * 4 + 5x * 4) + 62 = 13x + 3 (4 + 20x) + 62 = 13x + 3 Reorder the terms: 4 + 62 + 20x = 13x + 3 Combine like terms: 4 + 62 = 66 66 + 20x = 13x + 3 Reorder the terms: 66 + 20x = 3 + 13x Solving 66 + 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. 66 + 20x + -13x = 3 + 13x + -13x Combine like terms: 20x + -13x = 7x 66 + 7x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 66 + 7x = 3 + 0 66 + 7x = 3 Add '-66' to each side of the equation. 66 + -66 + 7x = 3 + -66 Combine like terms: 66 + -66 = 0 0 + 7x = 3 + -66 7x = 3 + -66 Combine like terms: 3 + -66 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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