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Simplifying 3x + 15 = 2x + 21 Reorder the terms: 15 + 3x = 2x + 21 Reorder the terms: 15 + 3x = 21 + 2x Solving 15 + 3x = 21 + 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. 15 + 3x + -2x = 21 + 2x + -2x Combine like terms: 3x + -2x = 1x 15 + 1x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 1x = 21 + 0 15 + 1x = 21 Add '-15' to each side of the equation. 15 + -15 + 1x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 21 + -15 1x = 21 + -15 Combine like terms: 21 + -15 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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