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Simplifying 9(x + -1) = 6(x + 5) Reorder the terms: 9(-1 + x) = 6(x + 5) (-1 * 9 + x * 9) = 6(x + 5) (-9 + 9x) = 6(x + 5) Reorder the terms: -9 + 9x = 6(5 + x) -9 + 9x = (5 * 6 + x * 6) -9 + 9x = (30 + 6x) Solving -9 + 9x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 9x + -6x = 30 + 6x + -6x Combine like terms: 9x + -6x = 3x -9 + 3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 3x = 30 + 0 -9 + 3x = 30 Add '9' to each side of the equation. -9 + 9 + 3x = 30 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 30 + 9 3x = 30 + 9 Combine like terms: 30 + 9 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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