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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 = 17 -13 + -5x = 17 + -27x Solving -13 + -5x = 17 + -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 = 17 + -27x + 27x Combine like terms: -5x + 27x = 22x -13 + 22x = 17 + -27x + 27x Combine like terms: -27x + 27x = 0 -13 + 22x = 17 + 0 -13 + 22x = 17 Add '13' to each side of the equation. -13 + 13 + 22x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 22x = 17 + 13 22x = 17 + 13 Combine like terms: 17 + 13 = 30 22x = 30 Divide each side by '22'. x = 1.363636364 Simplifying x = 1.363636364
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