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Simplifying -27 = -6(1 + -8x) + 7(5x + -3) -27 = (1 * -6 + -8x * -6) + 7(5x + -3) -27 = (-6 + 48x) + 7(5x + -3) Reorder the terms: -27 = -6 + 48x + 7(-3 + 5x) -27 = -6 + 48x + (-3 * 7 + 5x * 7) -27 = -6 + 48x + (-21 + 35x) Reorder the terms: -27 = -6 + -21 + 48x + 35x Combine like terms: -6 + -21 = -27 -27 = -27 + 48x + 35x Combine like terms: 48x + 35x = 83x -27 = -27 + 83x Add '27' to each side of the equation. -27 + 27 = -27 + 27 + 83x Combine like terms: -27 + 27 = 0 0 = -27 + 27 + 83x Combine like terms: -27 + 27 = 0 0 = 0 + 83x 0 = 83x Solving 0 = 83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-83x' to each side of the equation. 0 + -83x = 83x + -83x Remove the zero: -83x = 83x + -83x Combine like terms: 83x + -83x = 0 -83x = 0 Divide each side by '-83'. x = 0 Simplifying x = 0
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