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Simplifying -6(6x + 7) = -42x + -48 Reorder the terms: -6(7 + 6x) = -42x + -48 (7 * -6 + 6x * -6) = -42x + -48 (-42 + -36x) = -42x + -48 Reorder the terms: -42 + -36x = -48 + -42x Solving -42 + -36x = -48 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -42 + -36x + 42x = -48 + -42x + 42x Combine like terms: -36x + 42x = 6x -42 + 6x = -48 + -42x + 42x Combine like terms: -42x + 42x = 0 -42 + 6x = -48 + 0 -42 + 6x = -48 Add '42' to each side of the equation. -42 + 42 + 6x = -48 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -48 + 42 6x = -48 + 42 Combine like terms: -48 + 42 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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