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Simplifying 7x + 9 = 100 + -1x + -3 Reorder the terms: 9 + 7x = 100 + -1x + -3 Reorder the terms: 9 + 7x = 100 + -3 + -1x Combine like terms: 100 + -3 = 97 9 + 7x = 97 + -1x Solving 9 + 7x = 97 + -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. 9 + 7x + x = 97 + -1x + x Combine like terms: 7x + x = 8x 9 + 8x = 97 + -1x + x Combine like terms: -1x + x = 0 9 + 8x = 97 + 0 9 + 8x = 97 Add '-9' to each side of the equation. 9 + -9 + 8x = 97 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 97 + -9 8x = 97 + -9 Combine like terms: 97 + -9 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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