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Simplifying 6(3 + -2x) = 42 + -8(x + 6) (3 * 6 + -2x * 6) = 42 + -8(x + 6) (18 + -12x) = 42 + -8(x + 6) Reorder the terms: 18 + -12x = 42 + -8(6 + x) 18 + -12x = 42 + (6 * -8 + x * -8) 18 + -12x = 42 + (-48 + -8x) Combine like terms: 42 + -48 = -6 18 + -12x = -6 + -8x Solving 18 + -12x = -6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 18 + -12x + 8x = -6 + -8x + 8x Combine like terms: -12x + 8x = -4x 18 + -4x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + -4x = -6 + 0 18 + -4x = -6 Add '-18' to each side of the equation. 18 + -18 + -4x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = -6 + -18 -4x = -6 + -18 Combine like terms: -6 + -18 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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