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Simplifying 9(8x + 7) + -6(12 + -11x) = 14(10 + -1x) Reorder the terms: 9(7 + 8x) + -6(12 + -11x) = 14(10 + -1x) (7 * 9 + 8x * 9) + -6(12 + -11x) = 14(10 + -1x) (63 + 72x) + -6(12 + -11x) = 14(10 + -1x) 63 + 72x + (12 * -6 + -11x * -6) = 14(10 + -1x) 63 + 72x + (-72 + 66x) = 14(10 + -1x) Reorder the terms: 63 + -72 + 72x + 66x = 14(10 + -1x) Combine like terms: 63 + -72 = -9 -9 + 72x + 66x = 14(10 + -1x) Combine like terms: 72x + 66x = 138x -9 + 138x = 14(10 + -1x) -9 + 138x = (10 * 14 + -1x * 14) -9 + 138x = (140 + -14x) Solving -9 + 138x = 140 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -9 + 138x + 14x = 140 + -14x + 14x Combine like terms: 138x + 14x = 152x -9 + 152x = 140 + -14x + 14x Combine like terms: -14x + 14x = 0 -9 + 152x = 140 + 0 -9 + 152x = 140 Add '9' to each side of the equation. -9 + 9 + 152x = 140 + 9 Combine like terms: -9 + 9 = 0 0 + 152x = 140 + 9 152x = 140 + 9 Combine like terms: 140 + 9 = 149 152x = 149 Divide each side by '152'. x = 0.9802631579 Simplifying x = 0.9802631579
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