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Simplifying 15x + 21 = 6x + 282 Reorder the terms: 21 + 15x = 6x + 282 Reorder the terms: 21 + 15x = 282 + 6x Solving 21 + 15x = 282 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + 15x + -6x = 282 + 6x + -6x Combine like terms: 15x + -6x = 9x 21 + 9x = 282 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 9x = 282 + 0 21 + 9x = 282 Add '-21' to each side of the equation. 21 + -21 + 9x = 282 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 282 + -21 9x = 282 + -21 Combine like terms: 282 + -21 = 261 9x = 261 Divide each side by '9'. x = 29 Simplifying x = 29
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