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Simplifying 3x + 7 = 2x + 13 Reorder the terms: 7 + 3x = 2x + 13 Reorder the terms: 7 + 3x = 13 + 2x Solving 7 + 3x = 13 + 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. 7 + 3x + -2x = 13 + 2x + -2x Combine like terms: 3x + -2x = 1x 7 + 1x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 1x = 13 + 0 7 + 1x = 13 Add '-7' to each side of the equation. 7 + -7 + 1x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 13 + -7 1x = 13 + -7 Combine like terms: 13 + -7 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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