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Simplifying 15x + 30 = 6x + 282 Reorder the terms: 30 + 15x = 6x + 282 Reorder the terms: 30 + 15x = 282 + 6x Solving 30 + 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. 30 + 15x + -6x = 282 + 6x + -6x Combine like terms: 15x + -6x = 9x 30 + 9x = 282 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 9x = 282 + 0 30 + 9x = 282 Add '-30' to each side of the equation. 30 + -30 + 9x = 282 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 282 + -30 9x = 282 + -30 Combine like terms: 282 + -30 = 252 9x = 252 Divide each side by '9'. x = 28 Simplifying x = 28
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