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Simplifying -1x + -7(6x + 6) = 30 + -7x Reorder the terms: -1x + -7(6 + 6x) = 30 + -7x -1x + (6 * -7 + 6x * -7) = 30 + -7x -1x + (-42 + -42x) = 30 + -7x Reorder the terms: -42 + -1x + -42x = 30 + -7x Combine like terms: -1x + -42x = -43x -42 + -43x = 30 + -7x Solving -42 + -43x = 30 + -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. -42 + -43x + 7x = 30 + -7x + 7x Combine like terms: -43x + 7x = -36x -42 + -36x = 30 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + -36x = 30 + 0 -42 + -36x = 30 Add '42' to each side of the equation. -42 + 42 + -36x = 30 + 42 Combine like terms: -42 + 42 = 0 0 + -36x = 30 + 42 -36x = 30 + 42 Combine like terms: 30 + 42 = 72 -36x = 72 Divide each side by '-36'. x = -2 Simplifying x = -2
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