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Simplifying 9 + -7(x + 2) = 10 + -8(x + 1) Reorder the terms: 9 + -7(2 + x) = 10 + -8(x + 1) 9 + (2 * -7 + x * -7) = 10 + -8(x + 1) 9 + (-14 + -7x) = 10 + -8(x + 1) Combine like terms: 9 + -14 = -5 -5 + -7x = 10 + -8(x + 1) Reorder the terms: -5 + -7x = 10 + -8(1 + x) -5 + -7x = 10 + (1 * -8 + x * -8) -5 + -7x = 10 + (-8 + -8x) Combine like terms: 10 + -8 = 2 -5 + -7x = 2 + -8x Solving -5 + -7x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + -7x + 8x = 2 + -8x + 8x Combine like terms: -7x + 8x = 1x -5 + 1x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 1x = 2 + 0 -5 + 1x = 2 Add '5' to each side of the equation. -5 + 5 + 1x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 2 + 5 1x = 2 + 5 Combine like terms: 2 + 5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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