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Simplifying -1(x + -8) + 8(x + -2) = x + 9 Reorder the terms: -1(-8 + x) + 8(x + -2) = x + 9 (-8 * -1 + x * -1) + 8(x + -2) = x + 9 (8 + -1x) + 8(x + -2) = x + 9 Reorder the terms: 8 + -1x + 8(-2 + x) = x + 9 8 + -1x + (-2 * 8 + x * 8) = x + 9 8 + -1x + (-16 + 8x) = x + 9 Reorder the terms: 8 + -16 + -1x + 8x = x + 9 Combine like terms: 8 + -16 = -8 -8 + -1x + 8x = x + 9 Combine like terms: -1x + 8x = 7x -8 + 7x = x + 9 Reorder the terms: -8 + 7x = 9 + x Solving -8 + 7x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 7x + -1x = 9 + x + -1x Combine like terms: 7x + -1x = 6x -8 + 6x = 9 + x + -1x Combine like terms: x + -1x = 0 -8 + 6x = 9 + 0 -8 + 6x = 9 Add '8' to each side of the equation. -8 + 8 + 6x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 9 + 8 6x = 9 + 8 Combine like terms: 9 + 8 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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