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Simplifying -8x + -11(x + 8) = -9(2x + 6) Reorder the terms: -8x + -11(8 + x) = -9(2x + 6) -8x + (8 * -11 + x * -11) = -9(2x + 6) -8x + (-88 + -11x) = -9(2x + 6) Reorder the terms: -88 + -8x + -11x = -9(2x + 6) Combine like terms: -8x + -11x = -19x -88 + -19x = -9(2x + 6) Reorder the terms: -88 + -19x = -9(6 + 2x) -88 + -19x = (6 * -9 + 2x * -9) -88 + -19x = (-54 + -18x) Solving -88 + -19x = -54 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -88 + -19x + 18x = -54 + -18x + 18x Combine like terms: -19x + 18x = -1x -88 + -1x = -54 + -18x + 18x Combine like terms: -18x + 18x = 0 -88 + -1x = -54 + 0 -88 + -1x = -54 Add '88' to each side of the equation. -88 + 88 + -1x = -54 + 88 Combine like terms: -88 + 88 = 0 0 + -1x = -54 + 88 -1x = -54 + 88 Combine like terms: -54 + 88 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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