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Simplifying -1x + -1(13 + 4x) = -3(5 + -9x) -1x + (13 * -1 + 4x * -1) = -3(5 + -9x) -1x + (-13 + -4x) = -3(5 + -9x) Reorder the terms: -13 + -1x + -4x = -3(5 + -9x) Combine like terms: -1x + -4x = -5x -13 + -5x = -3(5 + -9x) -13 + -5x = (5 * -3 + -9x * -3) -13 + -5x = (-15 + 27x) Solving -13 + -5x = -15 + 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. -13 + -5x + -27x = -15 + 27x + -27x Combine like terms: -5x + -27x = -32x -13 + -32x = -15 + 27x + -27x Combine like terms: 27x + -27x = 0 -13 + -32x = -15 + 0 -13 + -32x = -15 Add '13' to each side of the equation. -13 + 13 + -32x = -15 + 13 Combine like terms: -13 + 13 = 0 0 + -32x = -15 + 13 -32x = -15 + 13 Combine like terms: -15 + 13 = -2 -32x = -2 Divide each side by '-32'. x = 0.0625 Simplifying x = 0.0625
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