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Simplifying 9(x + 1) = 4(3x + -2) Reorder the terms: 9(1 + x) = 4(3x + -2) (1 * 9 + x * 9) = 4(3x + -2) (9 + 9x) = 4(3x + -2) Reorder the terms: 9 + 9x = 4(-2 + 3x) 9 + 9x = (-2 * 4 + 3x * 4) 9 + 9x = (-8 + 12x) Solving 9 + 9x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 9x + -12x = -8 + 12x + -12x Combine like terms: 9x + -12x = -3x 9 + -3x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -3x = -8 + 0 9 + -3x = -8 Add '-9' to each side of the equation. 9 + -9 + -3x = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -8 + -9 -3x = -8 + -9 Combine like terms: -8 + -9 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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