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Simplifying -6(-6 + 7x) = 8(-6x + -6) (-6 * -6 + 7x * -6) = 8(-6x + -6) (36 + -42x) = 8(-6x + -6) Reorder the terms: 36 + -42x = 8(-6 + -6x) 36 + -42x = (-6 * 8 + -6x * 8) 36 + -42x = (-48 + -48x) Solving 36 + -42x = -48 + -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. 36 + -42x + 48x = -48 + -48x + 48x Combine like terms: -42x + 48x = 6x 36 + 6x = -48 + -48x + 48x Combine like terms: -48x + 48x = 0 36 + 6x = -48 + 0 36 + 6x = -48 Add '-36' to each side of the equation. 36 + -36 + 6x = -48 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = -48 + -36 6x = -48 + -36 Combine like terms: -48 + -36 = -84 6x = -84 Divide each side by '6'. x = -14 Simplifying x = -14
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