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Simplifying -1x + -11(13 + 4x) = -3(5 + -9x) + 2 -1x + (13 * -11 + 4x * -11) = -3(5 + -9x) + 2 -1x + (-143 + -44x) = -3(5 + -9x) + 2 Reorder the terms: -143 + -1x + -44x = -3(5 + -9x) + 2 Combine like terms: -1x + -44x = -45x -143 + -45x = -3(5 + -9x) + 2 -143 + -45x = (5 * -3 + -9x * -3) + 2 -143 + -45x = (-15 + 27x) + 2 Reorder the terms: -143 + -45x = -15 + 2 + 27x Combine like terms: -15 + 2 = -13 -143 + -45x = -13 + 27x Solving -143 + -45x = -13 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -143 + -45x + -27x = -13 + 27x + -27x Combine like terms: -45x + -27x = -72x -143 + -72x = -13 + 27x + -27x Combine like terms: 27x + -27x = 0 -143 + -72x = -13 + 0 -143 + -72x = -13 Add '143' to each side of the equation. -143 + 143 + -72x = -13 + 143 Combine like terms: -143 + 143 = 0 0 + -72x = -13 + 143 -72x = -13 + 143 Combine like terms: -13 + 143 = 130 -72x = 130 Divide each side by '-72'. x = -1.805555556 Simplifying x = -1.805555556
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