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Simplifying 3 + 9(x + -9) = 10 + -7(x + -1) Reorder the terms: 3 + 9(-9 + x) = 10 + -7(x + -1) 3 + (-9 * 9 + x * 9) = 10 + -7(x + -1) 3 + (-81 + 9x) = 10 + -7(x + -1) Combine like terms: 3 + -81 = -78 -78 + 9x = 10 + -7(x + -1) Reorder the terms: -78 + 9x = 10 + -7(-1 + x) -78 + 9x = 10 + (-1 * -7 + x * -7) -78 + 9x = 10 + (7 + -7x) Combine like terms: 10 + 7 = 17 -78 + 9x = 17 + -7x Solving -78 + 9x = 17 + -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. -78 + 9x + 7x = 17 + -7x + 7x Combine like terms: 9x + 7x = 16x -78 + 16x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -78 + 16x = 17 + 0 -78 + 16x = 17 Add '78' to each side of the equation. -78 + 78 + 16x = 17 + 78 Combine like terms: -78 + 78 = 0 0 + 16x = 17 + 78 16x = 17 + 78 Combine like terms: 17 + 78 = 95 16x = 95 Divide each side by '16'. x = 5.9375 Simplifying x = 5.9375
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