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Simplifying -2(9 + 3x) = 42 + 2x (9 * -2 + 3x * -2) = 42 + 2x (-18 + -6x) = 42 + 2x Solving -18 + -6x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + -6x + -2x = 42 + 2x + -2x Combine like terms: -6x + -2x = -8x -18 + -8x = 42 + 2x + -2x Combine like terms: 2x + -2x = 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 = 60 -8x = 60 Divide each side by '-8'. x = -7.5 Simplifying x = -7.5
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