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Simplifying 5x + 6(-5x + -18) = 42 Reorder the terms: 5x + 6(-18 + -5x) = 42 5x + (-18 * 6 + -5x * 6) = 42 5x + (-108 + -30x) = 42 Reorder the terms: -108 + 5x + -30x = 42 Combine like terms: 5x + -30x = -25x -108 + -25x = 42 Solving -108 + -25x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 108 + -25x = 42 + 108 Combine like terms: -108 + 108 = 0 0 + -25x = 42 + 108 -25x = 42 + 108 Combine like terms: 42 + 108 = 150 -25x = 150 Divide each side by '-25'. x = -6 Simplifying x = -6
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