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Simplifying -7[-2x + -5 + 39x + 1] = 3x + -6 Reorder the terms: -7[-5 + 1 + -2x + 39x] = 3x + -6 Combine like terms: -5 + 1 = -4 -7[-4 + -2x + 39x] = 3x + -6 Combine like terms: -2x + 39x = 37x -7[-4 + 37x] = 3x + -6 [-4 * -7 + 37x * -7] = 3x + -6 [28 + -259x] = 3x + -6 Reorder the terms: 28 + -259x = -6 + 3x Solving 28 + -259x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + -259x + -3x = -6 + 3x + -3x Combine like terms: -259x + -3x = -262x 28 + -262x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -262x = -6 + 0 28 + -262x = -6 Add '-28' to each side of the equation. 28 + -28 + -262x = -6 + -28 Combine like terms: 28 + -28 = 0 0 + -262x = -6 + -28 -262x = -6 + -28 Combine like terms: -6 + -28 = -34 -262x = -34 Divide each side by '-262'. x = 0.1297709924 Simplifying x = 0.1297709924
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