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