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Simplifying 6(7x + 8) = 7x Reorder the terms: 6(8 + 7x) = 7x (8 * 6 + 7x * 6) = 7x (48 + 42x) = 7x Solving 48 + 42x = 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. 48 + 42x + -7x = 7x + -7x Combine like terms: 42x + -7x = 35x 48 + 35x = 7x + -7x Combine like terms: 7x + -7x = 0 48 + 35x = 0 Add '-48' to each side of the equation. 48 + -48 + 35x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 35x = 0 + -48 35x = 0 + -48 Combine like terms: 0 + -48 = -48 35x = -48 Divide each side by '35'. x = -1.371428571 Simplifying x = -1.371428571
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