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Simplifying 9 + -2(x + 5) = 8x + -1(x + 7) Reorder the terms: 9 + -2(5 + x) = 8x + -1(x + 7) 9 + (5 * -2 + x * -2) = 8x + -1(x + 7) 9 + (-10 + -2x) = 8x + -1(x + 7) Combine like terms: 9 + -10 = -1 -1 + -2x = 8x + -1(x + 7) Reorder the terms: -1 + -2x = 8x + -1(7 + x) -1 + -2x = 8x + (7 * -1 + x * -1) -1 + -2x = 8x + (-7 + -1x) Reorder the terms: -1 + -2x = -7 + 8x + -1x Combine like terms: 8x + -1x = 7x -1 + -2x = -7 + 7x Solving -1 + -2x = -7 + 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. -1 + -2x + -7x = -7 + 7x + -7x Combine like terms: -2x + -7x = -9x -1 + -9x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -9x = -7 + 0 -1 + -9x = -7 Add '1' to each side of the equation. -1 + 1 + -9x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = -7 + 1 -9x = -7 + 1 Combine like terms: -7 + 1 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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