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Simplifying 3x + 13 = 8x + 3 Reorder the terms: 13 + 3x = 8x + 3 Reorder the terms: 13 + 3x = 3 + 8x Solving 13 + 3x = 3 + 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 + 3x + -8x = 3 + 8x + -8x Combine like terms: 3x + -8x = -5x 13 + -5x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -5x = 3 + 0 13 + -5x = 3 Add '-13' to each side of the equation. 13 + -13 + -5x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 3 + -13 -5x = 3 + -13 Combine like terms: 3 + -13 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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