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Simplifying 7(x + -7) = 2x + -6 Reorder the terms: 7(-7 + x) = 2x + -6 (-7 * 7 + x * 7) = 2x + -6 (-49 + 7x) = 2x + -6 Reorder the terms: -49 + 7x = -6 + 2x Solving -49 + 7x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -49 + 7x + -2x = -6 + 2x + -2x Combine like terms: 7x + -2x = 5x -49 + 5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -49 + 5x = -6 + 0 -49 + 5x = -6 Add '49' to each side of the equation. -49 + 49 + 5x = -6 + 49 Combine like terms: -49 + 49 = 0 0 + 5x = -6 + 49 5x = -6 + 49 Combine like terms: -6 + 49 = 43 5x = 43 Divide each side by '5'. x = 8.6 Simplifying x = 8.6
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