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Simplifying 6(8x + -7) = -282 Reorder the terms: 6(-7 + 8x) = -282 (-7 * 6 + 8x * 6) = -282 (-42 + 48x) = -282 Solving -42 + 48x = -282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 48x = -282 + 42 Combine like terms: -42 + 42 = 0 0 + 48x = -282 + 42 48x = -282 + 42 Combine like terms: -282 + 42 = -240 48x = -240 Divide each side by '48'. x = -5 Simplifying x = -5
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