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Simplifying -9x + 7(-4x + -6) = 1 Reorder the terms: -9x + 7(-6 + -4x) = 1 -9x + (-6 * 7 + -4x * 7) = 1 -9x + (-42 + -28x) = 1 Reorder the terms: -42 + -9x + -28x = 1 Combine like terms: -9x + -28x = -37x -42 + -37x = 1 Solving -42 + -37x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -37x = 1 + 42 Combine like terms: -42 + 42 = 0 0 + -37x = 1 + 42 -37x = 1 + 42 Combine like terms: 1 + 42 = 43 -37x = 43 Divide each side by '-37'. x = -1.162162162 Simplifying x = -1.162162162
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