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Simplifying 5(x + -7) = -6x + 20 Reorder the terms: 5(-7 + x) = -6x + 20 (-7 * 5 + x * 5) = -6x + 20 (-35 + 5x) = -6x + 20 Reorder the terms: -35 + 5x = 20 + -6x Solving -35 + 5x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -35 + 5x + 6x = 20 + -6x + 6x Combine like terms: 5x + 6x = 11x -35 + 11x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + 11x = 20 + 0 -35 + 11x = 20 Add '35' to each side of the equation. -35 + 35 + 11x = 20 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = 20 + 35 11x = 20 + 35 Combine like terms: 20 + 35 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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