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Simplifying 6(3 + -1x) = -3(x + -8) (3 * 6 + -1x * 6) = -3(x + -8) (18 + -6x) = -3(x + -8) Reorder the terms: 18 + -6x = -3(-8 + x) 18 + -6x = (-8 * -3 + x * -3) 18 + -6x = (24 + -3x) Solving 18 + -6x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 18 + -6x + 3x = 24 + -3x + 3x Combine like terms: -6x + 3x = -3x 18 + -3x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + -3x = 24 + 0 18 + -3x = 24 Add '-18' to each side of the equation. 18 + -18 + -3x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 24 + -18 -3x = 24 + -18 Combine like terms: 24 + -18 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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