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Simplifying 4(3x + -5) = 9(x + 2) + -6 Reorder the terms: 4(-5 + 3x) = 9(x + 2) + -6 (-5 * 4 + 3x * 4) = 9(x + 2) + -6 (-20 + 12x) = 9(x + 2) + -6 Reorder the terms: -20 + 12x = 9(2 + x) + -6 -20 + 12x = (2 * 9 + x * 9) + -6 -20 + 12x = (18 + 9x) + -6 Reorder the terms: -20 + 12x = 18 + -6 + 9x Combine like terms: 18 + -6 = 12 -20 + 12x = 12 + 9x Solving -20 + 12x = 12 + 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. -20 + 12x + -9x = 12 + 9x + -9x Combine like terms: 12x + -9x = 3x -20 + 3x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + 3x = 12 + 0 -20 + 3x = 12 Add '20' to each side of the equation. -20 + 20 + 3x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 12 + 20 3x = 12 + 20 Combine like terms: 12 + 20 = 32 3x = 32 Divide each side by '3'. x = 10.66666667 Simplifying x = 10.66666667
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