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