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Simplifying 5x + 13 = 8x + 16 Reorder the terms: 13 + 5x = 8x + 16 Reorder the terms: 13 + 5x = 16 + 8x Solving 13 + 5x = 16 + 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. 13 + 5x + -8x = 16 + 8x + -8x Combine like terms: 5x + -8x = -3x 13 + -3x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -3x = 16 + 0 13 + -3x = 16 Add '-13' to each side of the equation. 13 + -13 + -3x = 16 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 16 + -13 -3x = 16 + -13 Combine like terms: 16 + -13 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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