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Simplifying -4(3x + -9) + 9x = 5(x + 6) Reorder the terms: -4(-9 + 3x) + 9x = 5(x + 6) (-9 * -4 + 3x * -4) + 9x = 5(x + 6) (36 + -12x) + 9x = 5(x + 6) Combine like terms: -12x + 9x = -3x 36 + -3x = 5(x + 6) Reorder the terms: 36 + -3x = 5(6 + x) 36 + -3x = (6 * 5 + x * 5) 36 + -3x = (30 + 5x) Solving 36 + -3x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + -3x + -5x = 30 + 5x + -5x Combine like terms: -3x + -5x = -8x 36 + -8x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + -8x = 30 + 0 36 + -8x = 30 Add '-36' to each side of the equation. 36 + -36 + -8x = 30 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = 30 + -36 -8x = 30 + -36 Combine like terms: 30 + -36 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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