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Simplifying 3(3 + -2x) = 5 + -4(2 + -3x) (3 * 3 + -2x * 3) = 5 + -4(2 + -3x) (9 + -6x) = 5 + -4(2 + -3x) 9 + -6x = 5 + (2 * -4 + -3x * -4) 9 + -6x = 5 + (-8 + 12x) Combine like terms: 5 + -8 = -3 9 + -6x = -3 + 12x Solving 9 + -6x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + -6x + -12x = -3 + 12x + -12x Combine like terms: -6x + -12x = -18x 9 + -18x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -18x = -3 + 0 9 + -18x = -3 Add '-9' to each side of the equation. 9 + -9 + -18x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -18x = -3 + -9 -18x = -3 + -9 Combine like terms: -3 + -9 = -12 -18x = -12 Divide each side by '-18'. x = 0.6666666667 Simplifying x = 0.6666666667
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