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Simplifying 5(6x + -7) = 11 + 7x Reorder the terms: 5(-7 + 6x) = 11 + 7x (-7 * 5 + 6x * 5) = 11 + 7x (-35 + 30x) = 11 + 7x Solving -35 + 30x = 11 + 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. -35 + 30x + -7x = 11 + 7x + -7x Combine like terms: 30x + -7x = 23x -35 + 23x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 23x = 11 + 0 -35 + 23x = 11 Add '35' to each side of the equation. -35 + 35 + 23x = 11 + 35 Combine like terms: -35 + 35 = 0 0 + 23x = 11 + 35 23x = 11 + 35 Combine like terms: 11 + 35 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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