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Simplifying 6(5x + -2) + -6 = 282 Reorder the terms: 6(-2 + 5x) + -6 = 282 (-2 * 6 + 5x * 6) + -6 = 282 (-12 + 30x) + -6 = 282 Reorder the terms: -12 + -6 + 30x = 282 Combine like terms: -12 + -6 = -18 -18 + 30x = 282 Solving -18 + 30x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 30x = 282 + 18 Combine like terms: -18 + 18 = 0 0 + 30x = 282 + 18 30x = 282 + 18 Combine like terms: 282 + 18 = 300 30x = 300 Divide each side by '30'. x = 10 Simplifying x = 10
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