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Simplifying 5(-7 + -6x) + -7x = 9 + 7x (-7 * 5 + -6x * 5) + -7x = 9 + 7x (-35 + -30x) + -7x = 9 + 7x Combine like terms: -30x + -7x = -37x -35 + -37x = 9 + 7x Solving -35 + -37x = 9 + 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 + -37x + -7x = 9 + 7x + -7x Combine like terms: -37x + -7x = -44x -35 + -44x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + -44x = 9 + 0 -35 + -44x = 9 Add '35' to each side of the equation. -35 + 35 + -44x = 9 + 35 Combine like terms: -35 + 35 = 0 0 + -44x = 9 + 35 -44x = 9 + 35 Combine like terms: 9 + 35 = 44 -44x = 44 Divide each side by '-44'. x = -1 Simplifying x = -1
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