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Simplifying 9 + -4(3x + 1) = 3(6 + -3x + -9) Reorder the terms: 9 + -4(1 + 3x) = 3(6 + -3x + -9) 9 + (1 * -4 + 3x * -4) = 3(6 + -3x + -9) 9 + (-4 + -12x) = 3(6 + -3x + -9) Combine like terms: 9 + -4 = 5 5 + -12x = 3(6 + -3x + -9) Reorder the terms: 5 + -12x = 3(6 + -9 + -3x) Combine like terms: 6 + -9 = -3 5 + -12x = 3(-3 + -3x) 5 + -12x = (-3 * 3 + -3x * 3) 5 + -12x = (-9 + -9x) Solving 5 + -12x = -9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + -12x + 9x = -9 + -9x + 9x Combine like terms: -12x + 9x = -3x 5 + -3x = -9 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + -3x = -9 + 0 5 + -3x = -9 Add '-5' to each side of the equation. 5 + -5 + -3x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -9 + -5 -3x = -9 + -5 Combine like terms: -9 + -5 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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