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Simplifying 2 + 9(x + -1) = 2 + -5(x + -6) Reorder the terms: 2 + 9(-1 + x) = 2 + -5(x + -6) 2 + (-1 * 9 + x * 9) = 2 + -5(x + -6) 2 + (-9 + 9x) = 2 + -5(x + -6) Combine like terms: 2 + -9 = -7 -7 + 9x = 2 + -5(x + -6) Reorder the terms: -7 + 9x = 2 + -5(-6 + x) -7 + 9x = 2 + (-6 * -5 + x * -5) -7 + 9x = 2 + (30 + -5x) Combine like terms: 2 + 30 = 32 -7 + 9x = 32 + -5x Solving -7 + 9x = 32 + -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. -7 + 9x + 5x = 32 + -5x + 5x Combine like terms: 9x + 5x = 14x -7 + 14x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 14x = 32 + 0 -7 + 14x = 32 Add '7' to each side of the equation. -7 + 7 + 14x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 32 + 7 14x = 32 + 7 Combine like terms: 32 + 7 = 39 14x = 39 Divide each side by '14'. x = 2.785714286 Simplifying x = 2.785714286
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