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