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Simplifying 4 + 7(-7x + 7) = -3x + -39 Reorder the terms: 4 + 7(7 + -7x) = -3x + -39 4 + (7 * 7 + -7x * 7) = -3x + -39 4 + (49 + -49x) = -3x + -39 Combine like terms: 4 + 49 = 53 53 + -49x = -3x + -39 Reorder the terms: 53 + -49x = -39 + -3x Solving 53 + -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. 53 + -49x + 3x = -39 + -3x + 3x Combine like terms: -49x + 3x = -46x 53 + -46x = -39 + -3x + 3x Combine like terms: -3x + 3x = 0 53 + -46x = -39 + 0 53 + -46x = -39 Add '-53' to each side of the equation. 53 + -53 + -46x = -39 + -53 Combine like terms: 53 + -53 = 0 0 + -46x = -39 + -53 -46x = -39 + -53 Combine like terms: -39 + -53 = -92 -46x = -92 Divide each side by '-46'. x = 2 Simplifying x = 2
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