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Simplifying -1x + -1(13 + 4x) = -3(5 + -9x) + 2 -1x + (13 * -1 + 4x * -1) = -3(5 + -9x) + 2 -1x + (-13 + -4x) = -3(5 + -9x) + 2 Reorder the terms: -13 + -1x + -4x = -3(5 + -9x) + 2 Combine like terms: -1x + -4x = -5x -13 + -5x = -3(5 + -9x) + 2 -13 + -5x = (5 * -3 + -9x * -3) + 2 -13 + -5x = (-15 + 27x) + 2 Reorder the terms: -13 + -5x = -15 + 2 + 27x Combine like terms: -15 + 2 = -13 -13 + -5x = -13 + 27x Add '13' to each side of the equation. -13 + 13 + -5x = -13 + 13 + 27x Combine like terms: -13 + 13 = 0 0 + -5x = -13 + 13 + 27x -5x = -13 + 13 + 27x Combine like terms: -13 + 13 = 0 -5x = 0 + 27x -5x = 27x Solving -5x = 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. -5x + -27x = 27x + -27x Combine like terms: -5x + -27x = -32x -32x = 27x + -27x Combine like terms: 27x + -27x = 0 -32x = 0 Divide each side by '-32'. x = 0 Simplifying x = 0
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