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Simplifying 7(x + -7) = 49 + -1x Reorder the terms: 7(-7 + x) = 49 + -1x (-7 * 7 + x * 7) = 49 + -1x (-49 + 7x) = 49 + -1x Solving -49 + 7x = 49 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -49 + 7x + x = 49 + -1x + x Combine like terms: 7x + x = 8x -49 + 8x = 49 + -1x + x Combine like terms: -1x + x = 0 -49 + 8x = 49 + 0 -49 + 8x = 49 Add '49' to each side of the equation. -49 + 49 + 8x = 49 + 49 Combine like terms: -49 + 49 = 0 0 + 8x = 49 + 49 8x = 49 + 49 Combine like terms: 49 + 49 = 98 8x = 98 Divide each side by '8'. x = 12.25 Simplifying x = 12.25
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