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Simplifying -7 + 5(1 + 6x) = -39 + -7x -7 + (1 * 5 + 6x * 5) = -39 + -7x -7 + (5 + 30x) = -39 + -7x Combine like terms: -7 + 5 = -2 -2 + 30x = -39 + -7x Solving -2 + 30x = -39 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + 30x + 7x = -39 + -7x + 7x Combine like terms: 30x + 7x = 37x -2 + 37x = -39 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 37x = -39 + 0 -2 + 37x = -39 Add '2' to each side of the equation. -2 + 2 + 37x = -39 + 2 Combine like terms: -2 + 2 = 0 0 + 37x = -39 + 2 37x = -39 + 2 Combine like terms: -39 + 2 = -37 37x = -37 Divide each side by '37'. x = -1 Simplifying x = -1
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