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Simplifying -1x + -3(13 + 4x) = -3(5 + -9x) + 2 -1x + (13 * -3 + 4x * -3) = -3(5 + -9x) + 2 -1x + (-39 + -12x) = -3(5 + -9x) + 2 Reorder the terms: -39 + -1x + -12x = -3(5 + -9x) + 2 Combine like terms: -1x + -12x = -13x -39 + -13x = -3(5 + -9x) + 2 -39 + -13x = (5 * -3 + -9x * -3) + 2 -39 + -13x = (-15 + 27x) + 2 Reorder the terms: -39 + -13x = -15 + 2 + 27x Combine like terms: -15 + 2 = -13 -39 + -13x = -13 + 27x Solving -39 + -13x = -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. -39 + -13x + -27x = -13 + 27x + -27x Combine like terms: -13x + -27x = -40x -39 + -40x = -13 + 27x + -27x Combine like terms: 27x + -27x = 0 -39 + -40x = -13 + 0 -39 + -40x = -13 Add '39' to each side of the equation. -39 + 39 + -40x = -13 + 39 Combine like terms: -39 + 39 = 0 0 + -40x = -13 + 39 -40x = -13 + 39 Combine like terms: -13 + 39 = 26 -40x = 26 Divide each side by '-40'. x = -0.65 Simplifying x = -0.65
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