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Simplifying 3x + 5 = x + 13 Reorder the terms: 5 + 3x = x + 13 Reorder the terms: 5 + 3x = 13 + x Solving 5 + 3x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 3x + -1x = 13 + x + -1x Combine like terms: 3x + -1x = 2x 5 + 2x = 13 + x + -1x Combine like terms: x + -1x = 0 5 + 2x = 13 + 0 5 + 2x = 13 Add '-5' to each side of the equation. 5 + -5 + 2x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 13 + -5 2x = 13 + -5 Combine like terms: 13 + -5 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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