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Simplifying 5x + 8 + -1x = 3x + 13 Reorder the terms: 8 + 5x + -1x = 3x + 13 Combine like terms: 5x + -1x = 4x 8 + 4x = 3x + 13 Reorder the terms: 8 + 4x = 13 + 3x Solving 8 + 4x = 13 + 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. 8 + 4x + -3x = 13 + 3x + -3x Combine like terms: 4x + -3x = 1x 8 + 1x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 1x = 13 + 0 8 + 1x = 13 Add '-8' to each side of the equation. 8 + -8 + 1x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 13 + -8 1x = 13 + -8 Combine like terms: 13 + -8 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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