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Simplifying 282 = -1x + 5(8x + -6) Reorder the terms: 282 = -1x + 5(-6 + 8x) 282 = -1x + (-6 * 5 + 8x * 5) 282 = -1x + (-30 + 40x) Reorder the terms: 282 = -30 + -1x + 40x Combine like terms: -1x + 40x = 39x 282 = -30 + 39x Solving 282 = -30 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 282 + -39x = -30 + 39x + -39x Combine like terms: 39x + -39x = 0 282 + -39x = -30 + 0 282 + -39x = -30 Add '-282' to each side of the equation. 282 + -282 + -39x = -30 + -282 Combine like terms: 282 + -282 = 0 0 + -39x = -30 + -282 -39x = -30 + -282 Combine like terms: -30 + -282 = -312 -39x = -312 Divide each side by '-39'. x = 8 Simplifying x = 8
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