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Simplifying -8x + -11(x + 4) = -9(2x + 5) Reorder the terms: -8x + -11(4 + x) = -9(2x + 5) -8x + (4 * -11 + x * -11) = -9(2x + 5) -8x + (-44 + -11x) = -9(2x + 5) Reorder the terms: -44 + -8x + -11x = -9(2x + 5) Combine like terms: -8x + -11x = -19x -44 + -19x = -9(2x + 5) Reorder the terms: -44 + -19x = -9(5 + 2x) -44 + -19x = (5 * -9 + 2x * -9) -44 + -19x = (-45 + -18x) Solving -44 + -19x = -45 + -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. -44 + -19x + 18x = -45 + -18x + 18x Combine like terms: -19x + 18x = -1x -44 + -1x = -45 + -18x + 18x Combine like terms: -18x + 18x = 0 -44 + -1x = -45 + 0 -44 + -1x = -45 Add '44' to each side of the equation. -44 + 44 + -1x = -45 + 44 Combine like terms: -44 + 44 = 0 0 + -1x = -45 + 44 -1x = -45 + 44 Combine like terms: -45 + 44 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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