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Simplifying -6(7x + 1) + 5x = -5 Reorder the terms: -6(1 + 7x) + 5x = -5 (1 * -6 + 7x * -6) + 5x = -5 (-6 + -42x) + 5x = -5 Combine like terms: -42x + 5x = -37x -6 + -37x = -5 Solving -6 + -37x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -37x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -37x = -5 + 6 -37x = -5 + 6 Combine like terms: -5 + 6 = 1 -37x = 1 Divide each side by '-37'. x = -0.02702702703 Simplifying x = -0.02702702703
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