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Simplifying -146 = -7(1 + -3x) + 8 -146 = (1 * -7 + -3x * -7) + 8 -146 = (-7 + 21x) + 8 Reorder the terms: -146 = -7 + 8 + 21x Combine like terms: -7 + 8 = 1 -146 = 1 + 21x Solving -146 = 1 + 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. -146 + -21x = 1 + 21x + -21x Combine like terms: 21x + -21x = 0 -146 + -21x = 1 + 0 -146 + -21x = 1 Add '146' to each side of the equation. -146 + 146 + -21x = 1 + 146 Combine like terms: -146 + 146 = 0 0 + -21x = 1 + 146 -21x = 1 + 146 Combine like terms: 1 + 146 = 147 -21x = 147 Divide each side by '-21'. x = -7 Simplifying x = -7
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