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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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