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Simplifying -6(5x + 5) = 9(x + 1) Reorder the terms: -6(5 + 5x) = 9(x + 1) (5 * -6 + 5x * -6) = 9(x + 1) (-30 + -30x) = 9(x + 1) Reorder the terms: -30 + -30x = 9(1 + x) -30 + -30x = (1 * 9 + x * 9) -30 + -30x = (9 + 9x) Solving -30 + -30x = 9 + 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. -30 + -30x + -9x = 9 + 9x + -9x Combine like terms: -30x + -9x = -39x -30 + -39x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -39x = 9 + 0 -30 + -39x = 9 Add '30' to each side of the equation. -30 + 30 + -39x = 9 + 30 Combine like terms: -30 + 30 = 0 0 + -39x = 9 + 30 -39x = 9 + 30 Combine like terms: 9 + 30 = 39 -39x = 39 Divide each side by '-39'. x = -1 Simplifying x = -1
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