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Simplifying 3x + 23 = 2x + 100 Reorder the terms: 23 + 3x = 2x + 100 Reorder the terms: 23 + 3x = 100 + 2x Solving 23 + 3x = 100 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 23 + 3x + -2x = 100 + 2x + -2x Combine like terms: 3x + -2x = 1x 23 + 1x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 1x = 100 + 0 23 + 1x = 100 Add '-23' to each side of the equation. 23 + -23 + 1x = 100 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 100 + -23 1x = 100 + -23 Combine like terms: 100 + -23 = 77 1x = 77 Divide each side by '1'. x = 77 Simplifying x = 77
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