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Simplifying 9(x + -9) + -2x = 8(x + -10) Reorder the terms: 9(-9 + x) + -2x = 8(x + -10) (-9 * 9 + x * 9) + -2x = 8(x + -10) (-81 + 9x) + -2x = 8(x + -10) Combine like terms: 9x + -2x = 7x -81 + 7x = 8(x + -10) Reorder the terms: -81 + 7x = 8(-10 + x) -81 + 7x = (-10 * 8 + x * 8) -81 + 7x = (-80 + 8x) Solving -81 + 7x = -80 + 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. -81 + 7x + -8x = -80 + 8x + -8x Combine like terms: 7x + -8x = -1x -81 + -1x = -80 + 8x + -8x Combine like terms: 8x + -8x = 0 -81 + -1x = -80 + 0 -81 + -1x = -80 Add '81' to each side of the equation. -81 + 81 + -1x = -80 + 81 Combine like terms: -81 + 81 = 0 0 + -1x = -80 + 81 -1x = -80 + 81 Combine like terms: -80 + 81 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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