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Simplifying 10x + 21 = 15x + 6 Reorder the terms: 21 + 10x = 15x + 6 Reorder the terms: 21 + 10x = 6 + 15x Solving 21 + 10x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 21 + 10x + -15x = 6 + 15x + -15x Combine like terms: 10x + -15x = -5x 21 + -5x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -5x = 6 + 0 21 + -5x = 6 Add '-21' to each side of the equation. 21 + -21 + -5x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 6 + -21 -5x = 6 + -21 Combine like terms: 6 + -21 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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