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Simplifying 3(3x + -1) + -1(6x + -4) = -9 Reorder the terms: 3(-1 + 3x) + -1(6x + -4) = -9 (-1 * 3 + 3x * 3) + -1(6x + -4) = -9 (-3 + 9x) + -1(6x + -4) = -9 Reorder the terms: -3 + 9x + -1(-4 + 6x) = -9 -3 + 9x + (-4 * -1 + 6x * -1) = -9 -3 + 9x + (4 + -6x) = -9 Reorder the terms: -3 + 4 + 9x + -6x = -9 Combine like terms: -3 + 4 = 1 1 + 9x + -6x = -9 Combine like terms: 9x + -6x = 3x 1 + 3x = -9 Solving 1 + 3x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -9 + -1 3x = -9 + -1 Combine like terms: -9 + -1 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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