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Simplifying 2x + 13 = 3x + 17 Reorder the terms: 13 + 2x = 3x + 17 Reorder the terms: 13 + 2x = 17 + 3x Solving 13 + 2x = 17 + 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. 13 + 2x + -3x = 17 + 3x + -3x Combine like terms: 2x + -3x = -1x 13 + -1x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -1x = 17 + 0 13 + -1x = 17 Add '-13' to each side of the equation. 13 + -13 + -1x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 17 + -13 -1x = 17 + -13 Combine like terms: 17 + -13 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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