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Simplifying 3x + 13 = 2x + 17 Reorder the terms: 13 + 3x = 2x + 17 Reorder the terms: 13 + 3x = 17 + 2x Solving 13 + 3x = 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 + 3x + -2x = 17 + 2x + -2x Combine like terms: 3x + -2x = 1x 13 + 1x = 17 + 2x + -2x Combine like terms: 2x + -2x = 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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