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Simplifying 3(2x + -9) + -4 = 9x + -2 Reorder the terms: 3(-9 + 2x) + -4 = 9x + -2 (-9 * 3 + 2x * 3) + -4 = 9x + -2 (-27 + 6x) + -4 = 9x + -2 Reorder the terms: -27 + -4 + 6x = 9x + -2 Combine like terms: -27 + -4 = -31 -31 + 6x = 9x + -2 Reorder the terms: -31 + 6x = -2 + 9x Solving -31 + 6x = -2 + 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. -31 + 6x + -9x = -2 + 9x + -9x Combine like terms: 6x + -9x = -3x -31 + -3x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -31 + -3x = -2 + 0 -31 + -3x = -2 Add '31' to each side of the equation. -31 + 31 + -3x = -2 + 31 Combine like terms: -31 + 31 = 0 0 + -3x = -2 + 31 -3x = -2 + 31 Combine like terms: -2 + 31 = 29 -3x = 29 Divide each side by '-3'. x = -9.666666667 Simplifying x = -9.666666667
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