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Simplifying 4 + 13x = 5(4x + 1) Reorder the terms: 4 + 13x = 5(1 + 4x) 4 + 13x = (1 * 5 + 4x * 5) 4 + 13x = (5 + 20x) Solving 4 + 13x = 5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 4 + 13x + -20x = 5 + 20x + -20x Combine like terms: 13x + -20x = -7x 4 + -7x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -7x = 5 + 0 4 + -7x = 5 Add '-4' to each side of the equation. 4 + -4 + -7x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 5 + -4 -7x = 5 + -4 Combine like terms: 5 + -4 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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