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Simplifying 5x + 100 = 3x + 122 Reorder the terms: 100 + 5x = 3x + 122 Reorder the terms: 100 + 5x = 122 + 3x Solving 100 + 5x = 122 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 100 + 5x + -3x = 122 + 3x + -3x Combine like terms: 5x + -3x = 2x 100 + 2x = 122 + 3x + -3x Combine like terms: 3x + -3x = 0 100 + 2x = 122 + 0 100 + 2x = 122 Add '-100' to each side of the equation. 100 + -100 + 2x = 122 + -100 Combine like terms: 100 + -100 = 0 0 + 2x = 122 + -100 2x = 122 + -100 Combine like terms: 122 + -100 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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