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Simplifying 3(6 + -4x) = x + -1(2x + 3) (6 * 3 + -4x * 3) = x + -1(2x + 3) (18 + -12x) = x + -1(2x + 3) Reorder the terms: 18 + -12x = x + -1(3 + 2x) 18 + -12x = x + (3 * -1 + 2x * -1) 18 + -12x = x + (-3 + -2x) Reorder the terms: 18 + -12x = -3 + x + -2x Combine like terms: x + -2x = -1x 18 + -12x = -3 + -1x Solving 18 + -12x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 18 + -12x + x = -3 + -1x + x Combine like terms: -12x + x = -11x 18 + -11x = -3 + -1x + x Combine like terms: -1x + x = 0 18 + -11x = -3 + 0 18 + -11x = -3 Add '-18' to each side of the equation. 18 + -18 + -11x = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -3 + -18 -11x = -3 + -18 Combine like terms: -3 + -18 = -21 -11x = -21 Divide each side by '-11'. x = 1.909090909 Simplifying x = 1.909090909
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