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Simplifying 9(1 + -1x) + 5 = 7(5 + x) (1 * 9 + -1x * 9) + 5 = 7(5 + x) (9 + -9x) + 5 = 7(5 + x) Reorder the terms: 9 + 5 + -9x = 7(5 + x) Combine like terms: 9 + 5 = 14 14 + -9x = 7(5 + x) 14 + -9x = (5 * 7 + x * 7) 14 + -9x = (35 + 7x) Solving 14 + -9x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + -9x + -7x = 35 + 7x + -7x Combine like terms: -9x + -7x = -16x 14 + -16x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -16x = 35 + 0 14 + -16x = 35 Add '-14' to each side of the equation. 14 + -14 + -16x = 35 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = 35 + -14 -16x = 35 + -14 Combine like terms: 35 + -14 = 21 -16x = 21 Divide each side by '-16'. x = -1.3125 Simplifying x = -1.3125
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