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Simplifying 9(x + 7) + -1(-2x + -1) = 5 Reorder the terms: 9(7 + x) + -1(-2x + -1) = 5 (7 * 9 + x * 9) + -1(-2x + -1) = 5 (63 + 9x) + -1(-2x + -1) = 5 Reorder the terms: 63 + 9x + -1(-1 + -2x) = 5 63 + 9x + (-1 * -1 + -2x * -1) = 5 63 + 9x + (1 + 2x) = 5 Reorder the terms: 63 + 1 + 9x + 2x = 5 Combine like terms: 63 + 1 = 64 64 + 9x + 2x = 5 Combine like terms: 9x + 2x = 11x 64 + 11x = 5 Solving 64 + 11x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 11x = 5 + -64 Combine like terms: 64 + -64 = 0 0 + 11x = 5 + -64 11x = 5 + -64 Combine like terms: 5 + -64 = -59 11x = -59 Divide each side by '11'. x = -5.363636364 Simplifying x = -5.363636364
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