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Simplifying 13[4 + -1(x + -2)] + -1(7x + -8) = 0 Reorder the terms: 13[4 + -1(-2 + x)] + -1(7x + -8) = 0 13[4 + (-2 * -1 + x * -1)] + -1(7x + -8) = 0 13[4 + (2 + -1x)] + -1(7x + -8) = 0 Combine like terms: 4 + 2 = 6 13[6 + -1x] + -1(7x + -8) = 0 [6 * 13 + -1x * 13] + -1(7x + -8) = 0 [78 + -13x] + -1(7x + -8) = 0 Reorder the terms: 78 + -13x + -1(-8 + 7x) = 0 78 + -13x + (-8 * -1 + 7x * -1) = 0 78 + -13x + (8 + -7x) = 0 Reorder the terms: 78 + 8 + -13x + -7x = 0 Combine like terms: 78 + 8 = 86 86 + -13x + -7x = 0 Combine like terms: -13x + -7x = -20x 86 + -20x = 0 Solving 86 + -20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + -20x = 0 + -86 Combine like terms: 86 + -86 = 0 0 + -20x = 0 + -86 -20x = 0 + -86 Combine like terms: 0 + -86 = -86 -20x = -86 Divide each side by '-20'. x = 4.3 Simplifying x = 4.3
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