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Simplifying -146 = 5x + -3(-7x + -12) Reorder the terms: -146 = 5x + -3(-12 + -7x) -146 = 5x + (-12 * -3 + -7x * -3) -146 = 5x + (36 + 21x) Reorder the terms: -146 = 36 + 5x + 21x Combine like terms: 5x + 21x = 26x -146 = 36 + 26x Solving -146 = 36 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -146 + -26x = 36 + 26x + -26x Combine like terms: 26x + -26x = 0 -146 + -26x = 36 + 0 -146 + -26x = 36 Add '146' to each side of the equation. -146 + 146 + -26x = 36 + 146 Combine like terms: -146 + 146 = 0 0 + -26x = 36 + 146 -26x = 36 + 146 Combine like terms: 36 + 146 = 182 -26x = 182 Divide each side by '-26'. x = -7 Simplifying x = -7
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