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Simplifying -9(5x + 10) = -6 + 12(5 + -3x) Reorder the terms: -9(10 + 5x) = -6 + 12(5 + -3x) (10 * -9 + 5x * -9) = -6 + 12(5 + -3x) (-90 + -45x) = -6 + 12(5 + -3x) -90 + -45x = -6 + (5 * 12 + -3x * 12) -90 + -45x = -6 + (60 + -36x) Combine like terms: -6 + 60 = 54 -90 + -45x = 54 + -36x Solving -90 + -45x = 54 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -90 + -45x + 36x = 54 + -36x + 36x Combine like terms: -45x + 36x = -9x -90 + -9x = 54 + -36x + 36x Combine like terms: -36x + 36x = 0 -90 + -9x = 54 + 0 -90 + -9x = 54 Add '90' to each side of the equation. -90 + 90 + -9x = 54 + 90 Combine like terms: -90 + 90 = 0 0 + -9x = 54 + 90 -9x = 54 + 90 Combine like terms: 54 + 90 = 144 -9x = 144 Divide each side by '-9'. x = -16 Simplifying x = -16
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