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Simplifying 6(x + 3) = 3(4 + -1x) Reorder the terms: 6(3 + x) = 3(4 + -1x) (3 * 6 + x * 6) = 3(4 + -1x) (18 + 6x) = 3(4 + -1x) 18 + 6x = (4 * 3 + -1x * 3) 18 + 6x = (12 + -3x) Solving 18 + 6x = 12 + -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 = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x 18 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + 9x = 12 + 0 18 + 9x = 12 Add '-18' to each side of the equation. 18 + -18 + 9x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 12 + -18 9x = 12 + -18 Combine like terms: 12 + -18 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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