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Simplifying 5(-6x + -7) = 7x + -5 Reorder the terms: 5(-7 + -6x) = 7x + -5 (-7 * 5 + -6x * 5) = 7x + -5 (-35 + -30x) = 7x + -5 Reorder the terms: -35 + -30x = -5 + 7x Solving -35 + -30x = -5 + 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 = -5 + 7x + -7x Combine like terms: -30x + -7x = -37x -35 + -37x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + -37x = -5 + 0 -35 + -37x = -5 Add '35' to each side of the equation. -35 + 35 + -37x = -5 + 35 Combine like terms: -35 + 35 = 0 0 + -37x = -5 + 35 -37x = -5 + 35 Combine like terms: -5 + 35 = 30 -37x = 30 Divide each side by '-37'. x = -0.8108108108 Simplifying x = -0.8108108108
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