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Simplifying (-5x + 12) + -8 = (3x + -6) * 7 Reorder the terms: (12 + -5x) + -8 = (3x + -6) * 7 Remove parenthesis around (12 + -5x) 12 + -5x + -8 = (3x + -6) * 7 Reorder the terms: 12 + -8 + -5x = (3x + -6) * 7 Combine like terms: 12 + -8 = 4 4 + -5x = (3x + -6) * 7 Reorder the terms: 4 + -5x = (-6 + 3x) * 7 Reorder the terms for easier multiplication: 4 + -5x = 7(-6 + 3x) 4 + -5x = (-6 * 7 + 3x * 7) 4 + -5x = (-42 + 21x) Solving 4 + -5x = -42 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 4 + -5x + -21x = -42 + 21x + -21x Combine like terms: -5x + -21x = -26x 4 + -26x = -42 + 21x + -21x Combine like terms: 21x + -21x = 0 4 + -26x = -42 + 0 4 + -26x = -42 Add '-4' to each side of the equation. 4 + -4 + -26x = -42 + -4 Combine like terms: 4 + -4 = 0 0 + -26x = -42 + -4 -26x = -42 + -4 Combine like terms: -42 + -4 = -46 -26x = -46 Divide each side by '-26'. x = 1.769230769 Simplifying x = 1.769230769
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