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Simplifying -7(-1 + -6x) = -30 + 5x (-1 * -7 + -6x * -7) = -30 + 5x (7 + 42x) = -30 + 5x Solving 7 + 42x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 42x + -5x = -30 + 5x + -5x Combine like terms: 42x + -5x = 37x 7 + 37x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 37x = -30 + 0 7 + 37x = -30 Add '-7' to each side of the equation. 7 + -7 + 37x = -30 + -7 Combine like terms: 7 + -7 = 0 0 + 37x = -30 + -7 37x = -30 + -7 Combine like terms: -30 + -7 = -37 37x = -37 Divide each side by '37'. x = -1 Simplifying x = -1
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