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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 = 37x -35 + 37x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 37x = 11 + 0 -35 + 37x = 11 Add '35' to each side of the equation. -35 + 35 + 37x = 11 + 35 Combine like terms: -35 + 35 = 0 0 + 37x = 11 + 35 37x = 11 + 35 Combine like terms: 11 + 35 = 46 37x = 46 Divide each side by '37'. x = 1.243243243 Simplifying x = 1.243243243
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