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Simplifying 5x + 501 = 3x + 5 Reorder the terms: 501 + 5x = 3x + 5 Reorder the terms: 501 + 5x = 5 + 3x Solving 501 + 5x = 5 + 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. 501 + 5x + -3x = 5 + 3x + -3x Combine like terms: 5x + -3x = 2x 501 + 2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 501 + 2x = 5 + 0 501 + 2x = 5 Add '-501' to each side of the equation. 501 + -501 + 2x = 5 + -501 Combine like terms: 501 + -501 = 0 0 + 2x = 5 + -501 2x = 5 + -501 Combine like terms: 5 + -501 = -496 2x = -496 Divide each side by '2'. x = -248 Simplifying x = -248
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