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Simplifying -30(x + 8) = -420 + -30 Reorder the terms: -30(8 + x) = -420 + -30 (8 * -30 + x * -30) = -420 + -30 (-240 + -30x) = -420 + -30 Combine like terms: -420 + -30 = -450 -240 + -30x = -450 Solving -240 + -30x = -450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '240' to each side of the equation. -240 + 240 + -30x = -450 + 240 Combine like terms: -240 + 240 = 0 0 + -30x = -450 + 240 -30x = -450 + 240 Combine like terms: -450 + 240 = -210 -30x = -210 Divide each side by '-30'. x = 7 Simplifying x = 7
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