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Simplifying -3x + -5(4x + 2) + 6 + -1(13x + -32) = 0 Reorder the terms: -3x + -5(2 + 4x) + 6 + -1(13x + -32) = 0 -3x + (2 * -5 + 4x * -5) + 6 + -1(13x + -32) = 0 -3x + (-10 + -20x) + 6 + -1(13x + -32) = 0 Reorder the terms: -3x + -10 + -20x + 6 + -1(-32 + 13x) = 0 -3x + -10 + -20x + 6 + (-32 * -1 + 13x * -1) = 0 -3x + -10 + -20x + 6 + (32 + -13x) = 0 Reorder the terms: -10 + 6 + 32 + -3x + -20x + -13x = 0 Combine like terms: -10 + 6 = -4 -4 + 32 + -3x + -20x + -13x = 0 Combine like terms: -4 + 32 = 28 28 + -3x + -20x + -13x = 0 Combine like terms: -3x + -20x = -23x 28 + -23x + -13x = 0 Combine like terms: -23x + -13x = -36x 28 + -36x = 0 Solving 28 + -36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -36x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -36x = 0 + -28 -36x = 0 + -28 Combine like terms: 0 + -28 = -28 -36x = -28 Divide each side by '-36'. x = 0.7777777778 Simplifying x = 0.7777777778
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