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Simplifying 4x + -3(3x + -9) = 5(3x + -7) + 6x Reorder the terms: 4x + -3(-9 + 3x) = 5(3x + -7) + 6x 4x + (-9 * -3 + 3x * -3) = 5(3x + -7) + 6x 4x + (27 + -9x) = 5(3x + -7) + 6x Reorder the terms: 27 + 4x + -9x = 5(3x + -7) + 6x Combine like terms: 4x + -9x = -5x 27 + -5x = 5(3x + -7) + 6x Reorder the terms: 27 + -5x = 5(-7 + 3x) + 6x 27 + -5x = (-7 * 5 + 3x * 5) + 6x 27 + -5x = (-35 + 15x) + 6x Combine like terms: 15x + 6x = 21x 27 + -5x = -35 + 21x Solving 27 + -5x = -35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 27 + -5x + -21x = -35 + 21x + -21x Combine like terms: -5x + -21x = -26x 27 + -26x = -35 + 21x + -21x Combine like terms: 21x + -21x = 0 27 + -26x = -35 + 0 27 + -26x = -35 Add '-27' to each side of the equation. 27 + -27 + -26x = -35 + -27 Combine like terms: 27 + -27 = 0 0 + -26x = -35 + -27 -26x = -35 + -27 Combine like terms: -35 + -27 = -62 -26x = -62 Divide each side by '-26'. x = 2.384615385 Simplifying x = 2.384615385
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