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Simplifying 7(1 + -7x) = -3x + -39 (1 * 7 + -7x * 7) = -3x + -39 (7 + -49x) = -3x + -39 Reorder the terms: 7 + -49x = -39 + -3x Solving 7 + -49x = -39 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + -49x + 3x = -39 + -3x + 3x Combine like terms: -49x + 3x = -46x 7 + -46x = -39 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + -46x = -39 + 0 7 + -46x = -39 Add '-7' to each side of the equation. 7 + -7 + -46x = -39 + -7 Combine like terms: 7 + -7 = 0 0 + -46x = -39 + -7 -46x = -39 + -7 Combine like terms: -39 + -7 = -46 -46x = -46 Divide each side by '-46'. x = 1 Simplifying x = 1
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