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Simplifying -9(5x + 3) = 9x + -42 Reorder the terms: -9(3 + 5x) = 9x + -42 (3 * -9 + 5x * -9) = 9x + -42 (-27 + -45x) = 9x + -42 Reorder the terms: -27 + -45x = -42 + 9x Solving -27 + -45x = -42 + 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. -27 + -45x + -9x = -42 + 9x + -9x Combine like terms: -45x + -9x = -54x -27 + -54x = -42 + 9x + -9x Combine like terms: 9x + -9x = 0 -27 + -54x = -42 + 0 -27 + -54x = -42 Add '27' to each side of the equation. -27 + 27 + -54x = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -54x = -42 + 27 -54x = -42 + 27 Combine like terms: -42 + 27 = -15 -54x = -15 Divide each side by '-54'. x = 0.2777777778 Simplifying x = 0.2777777778
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