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Simplifying 7x + 5 = 100(x + -7) + -3x Reorder the terms: 5 + 7x = 100(x + -7) + -3x Reorder the terms: 5 + 7x = 100(-7 + x) + -3x 5 + 7x = (-7 * 100 + x * 100) + -3x 5 + 7x = (-700 + 100x) + -3x Combine like terms: 100x + -3x = 97x 5 + 7x = -700 + 97x Solving 5 + 7x = -700 + 97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-97x' to each side of the equation. 5 + 7x + -97x = -700 + 97x + -97x Combine like terms: 7x + -97x = -90x 5 + -90x = -700 + 97x + -97x Combine like terms: 97x + -97x = 0 5 + -90x = -700 + 0 5 + -90x = -700 Add '-5' to each side of the equation. 5 + -5 + -90x = -700 + -5 Combine like terms: 5 + -5 = 0 0 + -90x = -700 + -5 -90x = -700 + -5 Combine like terms: -700 + -5 = -705 -90x = -705 Divide each side by '-90'. x = 7.833333333 Simplifying x = 7.833333333
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