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Simplifying 5x + 2 = 3x + 100 Reorder the terms: 2 + 5x = 3x + 100 Reorder the terms: 2 + 5x = 100 + 3x Solving 2 + 5x = 100 + 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. 2 + 5x + -3x = 100 + 3x + -3x Combine like terms: 5x + -3x = 2x 2 + 2x = 100 + 3x + -3x Combine like terms: 3x + -3x = 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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