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Simplifying 8x + -9 = (12.5x + -6.5) + -1(6x + -14) Reorder the terms: -9 + 8x = (12.5x + -6.5) + -1(6x + -14) Reorder the terms: -9 + 8x = (-6.5 + 12.5x) + -1(6x + -14) Remove parenthesis around (-6.5 + 12.5x) -9 + 8x = -6.5 + 12.5x + -1(6x + -14) Reorder the terms: -9 + 8x = -6.5 + 12.5x + -1(-14 + 6x) -9 + 8x = -6.5 + 12.5x + (-14 * -1 + 6x * -1) -9 + 8x = -6.5 + 12.5x + (14 + -6x) Reorder the terms: -9 + 8x = -6.5 + 14 + 12.5x + -6x Combine like terms: -6.5 + 14 = 7.5 -9 + 8x = 7.5 + 12.5x + -6x Combine like terms: 12.5x + -6x = 6.5x -9 + 8x = 7.5 + 6.5x Solving -9 + 8x = 7.5 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. -9 + 8x + -6.5x = 7.5 + 6.5x + -6.5x Combine like terms: 8x + -6.5x = 1.5x -9 + 1.5x = 7.5 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 -9 + 1.5x = 7.5 + 0.0 -9 + 1.5x = 7.5 Add '9' to each side of the equation. -9 + 9 + 1.5x = 7.5 + 9 Combine like terms: -9 + 9 = 0 0 + 1.5x = 7.5 + 9 1.5x = 7.5 + 9 Combine like terms: 7.5 + 9 = 16.5 1.5x = 16.5 Divide each side by '1.5'. x = 11 Simplifying x = 11
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