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Simplifying -3(x + -6) = 5x + 42 Reorder the terms: -3(-6 + x) = 5x + 42 (-6 * -3 + x * -3) = 5x + 42 (18 + -3x) = 5x + 42 Reorder the terms: 18 + -3x = 42 + 5x Solving 18 + -3x = 42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -3x + -5x = 42 + 5x + -5x Combine like terms: -3x + -5x = -8x 18 + -8x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -8x = 42 + 0 18 + -8x = 42 Add '-18' to each side of the equation. 18 + -18 + -8x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 42 + -18 -8x = 42 + -18 Combine like terms: 42 + -18 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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