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Simplifying 5x + -13 = 2x + 17 Reorder the terms: -13 + 5x = 2x + 17 Reorder the terms: -13 + 5x = 17 + 2x Solving -13 + 5x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 5x + -2x = 17 + 2x + -2x Combine like terms: 5x + -2x = 3x -13 + 3x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 3x = 17 + 0 -13 + 3x = 17 Add '13' to each side of the equation. -13 + 13 + 3x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 17 + 13 3x = 17 + 13 Combine like terms: 17 + 13 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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