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Simplifying 6(x + -7) = -20 + -5x Reorder the terms: 6(-7 + x) = -20 + -5x (-7 * 6 + x * 6) = -20 + -5x (-42 + 6x) = -20 + -5x Solving -42 + 6x = -20 + -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. -42 + 6x + 5x = -20 + -5x + 5x Combine like terms: 6x + 5x = 11x -42 + 11x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 -42 + 11x = -20 + 0 -42 + 11x = -20 Add '42' to each side of the equation. -42 + 42 + 11x = -20 + 42 Combine like terms: -42 + 42 = 0 0 + 11x = -20 + 42 11x = -20 + 42 Combine like terms: -20 + 42 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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