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Simplifying 9x + -3(4 + -3x) = 3 + -1(35 + -3(4 + -2x)) 9x + (4 * -3 + -3x * -3) = 3 + -1(35 + -3(4 + -2x)) 9x + (-12 + 9x) = 3 + -1(35 + -3(4 + -2x)) Reorder the terms: -12 + 9x + 9x = 3 + -1(35 + -3(4 + -2x)) Combine like terms: 9x + 9x = 18x -12 + 18x = 3 + -1(35 + -3(4 + -2x)) -12 + 18x = 3 + -1(35 + (4 * -3 + -2x * -3)) -12 + 18x = 3 + -1(35 + (-12 + 6x)) Combine like terms: 35 + -12 = 23 -12 + 18x = 3 + -1(23 + 6x) -12 + 18x = 3 + (23 * -1 + 6x * -1) -12 + 18x = 3 + (-23 + -6x) Combine like terms: 3 + -23 = -20 -12 + 18x = -20 + -6x Solving -12 + 18x = -20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 18x + 6x = -20 + -6x + 6x Combine like terms: 18x + 6x = 24x -12 + 24x = -20 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 24x = -20 + 0 -12 + 24x = -20 Add '12' to each side of the equation. -12 + 12 + 24x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = -20 + 12 24x = -20 + 12 Combine like terms: -20 + 12 = -8 24x = -8 Divide each side by '24'. x = -0.3333333333 Simplifying x = -0.3333333333
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