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Simplifying -8x + -11(x + 5) = -2(9x + 2) Reorder the terms: -8x + -11(5 + x) = -2(9x + 2) -8x + (5 * -11 + x * -11) = -2(9x + 2) -8x + (-55 + -11x) = -2(9x + 2) Reorder the terms: -55 + -8x + -11x = -2(9x + 2) Combine like terms: -8x + -11x = -19x -55 + -19x = -2(9x + 2) Reorder the terms: -55 + -19x = -2(2 + 9x) -55 + -19x = (2 * -2 + 9x * -2) -55 + -19x = (-4 + -18x) Solving -55 + -19x = -4 + -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. -55 + -19x + 18x = -4 + -18x + 18x Combine like terms: -19x + 18x = -1x -55 + -1x = -4 + -18x + 18x Combine like terms: -18x + 18x = 0 -55 + -1x = -4 + 0 -55 + -1x = -4 Add '55' to each side of the equation. -55 + 55 + -1x = -4 + 55 Combine like terms: -55 + 55 = 0 0 + -1x = -4 + 55 -1x = -4 + 55 Combine like terms: -4 + 55 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51
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