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Simplifying 5x + -7(-2x + -24) = 282 Reorder the terms: 5x + -7(-24 + -2x) = 282 5x + (-24 * -7 + -2x * -7) = 282 5x + (168 + 14x) = 282 Reorder the terms: 168 + 5x + 14x = 282 Combine like terms: 5x + 14x = 19x 168 + 19x = 282 Solving 168 + 19x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-168' to each side of the equation. 168 + -168 + 19x = 282 + -168 Combine like terms: 168 + -168 = 0 0 + 19x = 282 + -168 19x = 282 + -168 Combine like terms: 282 + -168 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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