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Simplifying 3(x + -6) = 4x + 42 Reorder the terms: 3(-6 + x) = 4x + 42 (-6 * 3 + x * 3) = 4x + 42 (-18 + 3x) = 4x + 42 Reorder the terms: -18 + 3x = 42 + 4x Solving -18 + 3x = 42 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 3x + -4x = 42 + 4x + -4x Combine like terms: 3x + -4x = -1x -18 + -1x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -1x = 42 + 0 -18 + -1x = 42 Add '18' to each side of the equation. -18 + 18 + -1x = 42 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 42 + 18 -1x = 42 + 18 Combine like terms: 42 + 18 = 60 -1x = 60 Divide each side by '-1'. x = -60 Simplifying x = -60
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