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Simplifying 8x + 11(x + -5) = -11(3x + -5) + -6 Reorder the terms: 8x + 11(-5 + x) = -11(3x + -5) + -6 8x + (-5 * 11 + x * 11) = -11(3x + -5) + -6 8x + (-55 + 11x) = -11(3x + -5) + -6 Reorder the terms: -55 + 8x + 11x = -11(3x + -5) + -6 Combine like terms: 8x + 11x = 19x -55 + 19x = -11(3x + -5) + -6 Reorder the terms: -55 + 19x = -11(-5 + 3x) + -6 -55 + 19x = (-5 * -11 + 3x * -11) + -6 -55 + 19x = (55 + -33x) + -6 Reorder the terms: -55 + 19x = 55 + -6 + -33x Combine like terms: 55 + -6 = 49 -55 + 19x = 49 + -33x Solving -55 + 19x = 49 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -55 + 19x + 33x = 49 + -33x + 33x Combine like terms: 19x + 33x = 52x -55 + 52x = 49 + -33x + 33x Combine like terms: -33x + 33x = 0 -55 + 52x = 49 + 0 -55 + 52x = 49 Add '55' to each side of the equation. -55 + 55 + 52x = 49 + 55 Combine like terms: -55 + 55 = 0 0 + 52x = 49 + 55 52x = 49 + 55 Combine like terms: 49 + 55 = 104 52x = 104 Divide each side by '52'. x = 2 Simplifying x = 2
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