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Simplifying -6x + -6 = 6(6 + -8x) Reorder the terms: -6 + -6x = 6(6 + -8x) -6 + -6x = (6 * 6 + -8x * 6) -6 + -6x = (36 + -48x) Solving -6 + -6x = 36 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -6 + -6x + 48x = 36 + -48x + 48x Combine like terms: -6x + 48x = 42x -6 + 42x = 36 + -48x + 48x Combine like terms: -48x + 48x = 0 -6 + 42x = 36 + 0 -6 + 42x = 36 Add '6' to each side of the equation. -6 + 6 + 42x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 42x = 36 + 6 42x = 36 + 6 Combine like terms: 36 + 6 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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