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Simplifying -1(x + 11) + 8(x + -11) = -1x + -3x Reorder the terms: -1(11 + x) + 8(x + -11) = -1x + -3x (11 * -1 + x * -1) + 8(x + -11) = -1x + -3x (-11 + -1x) + 8(x + -11) = -1x + -3x Reorder the terms: -11 + -1x + 8(-11 + x) = -1x + -3x -11 + -1x + (-11 * 8 + x * 8) = -1x + -3x -11 + -1x + (-88 + 8x) = -1x + -3x Reorder the terms: -11 + -88 + -1x + 8x = -1x + -3x Combine like terms: -11 + -88 = -99 -99 + -1x + 8x = -1x + -3x Combine like terms: -1x + 8x = 7x -99 + 7x = -1x + -3x Combine like terms: -1x + -3x = -4x -99 + 7x = -4x Solving -99 + 7x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -99 + 7x + 4x = -4x + 4x Combine like terms: 7x + 4x = 11x -99 + 11x = -4x + 4x Combine like terms: -4x + 4x = 0 -99 + 11x = 0 Add '99' to each side of the equation. -99 + 99 + 11x = 0 + 99 Combine like terms: -99 + 99 = 0 0 + 11x = 0 + 99 11x = 0 + 99 Combine like terms: 0 + 99 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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