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Simplifying 5(6 + 7x) = 5(4x + 1) (6 * 5 + 7x * 5) = 5(4x + 1) (30 + 35x) = 5(4x + 1) Reorder the terms: 30 + 35x = 5(1 + 4x) 30 + 35x = (1 * 5 + 4x * 5) 30 + 35x = (5 + 20x) Solving 30 + 35x = 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. 30 + 35x + -20x = 5 + 20x + -20x Combine like terms: 35x + -20x = 15x 30 + 15x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + 15x = 5 + 0 30 + 15x = 5 Add '-30' to each side of the equation. 30 + -30 + 15x = 5 + -30 Combine like terms: 30 + -30 = 0 0 + 15x = 5 + -30 15x = 5 + -30 Combine like terms: 5 + -30 = -25 15x = -25 Divide each side by '15'. x = -1.666666667 Simplifying x = -1.666666667
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