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Simplifying 9x + 2 = 7x + 100 Reorder the terms: 2 + 9x = 7x + 100 Reorder the terms: 2 + 9x = 100 + 7x Solving 2 + 9x = 100 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 9x + -7x = 100 + 7x + -7x Combine like terms: 9x + -7x = 2x 2 + 2x = 100 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 2x = 100 + 0 2 + 2x = 100 Add '-2' to each side of the equation. 2 + -2 + 2x = 100 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 100 + -2 2x = 100 + -2 Combine like terms: 100 + -2 = 98 2x = 98 Divide each side by '2'. x = 49 Simplifying x = 49
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