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Simplifying 5x + 13 = 3x + (5x + 13) Reorder the terms: 13 + 5x = 3x + (5x + 13) Reorder the terms: 13 + 5x = 3x + (13 + 5x) Remove parenthesis around (13 + 5x) 13 + 5x = 3x + 13 + 5x Reorder the terms: 13 + 5x = 13 + 3x + 5x Combine like terms: 3x + 5x = 8x 13 + 5x = 13 + 8x Add '-13' to each side of the equation. 13 + -13 + 5x = 13 + -13 + 8x Combine like terms: 13 + -13 = 0 0 + 5x = 13 + -13 + 8x 5x = 13 + -13 + 8x Combine like terms: 13 + -13 = 0 5x = 0 + 8x 5x = 8x Solving 5x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5x + -8x = 8x + -8x Combine like terms: 5x + -8x = -3x -3x = 8x + -8x Combine like terms: 8x + -8x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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