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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 = (-6 * 2.5 + x * 2.5) -7 + 9x = (-15 + 2.5x) Solving -7 + 9x = -15 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -7 + 9x + -2.5x = -15 + 2.5x + -2.5x Combine like terms: 9x + -2.5x = 6.5x -7 + 6.5x = -15 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -7 + 6.5x = -15 + 0.0 -7 + 6.5x = -15 Add '7' to each side of the equation. -7 + 7 + 6.5x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 6.5x = -15 + 7 6.5x = -15 + 7 Combine like terms: -15 + 7 = -8 6.5x = -8 Divide each side by '6.5'. x = -1.230769231 Simplifying x = -1.230769231
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