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Simplifying -1 + -7(7x + 5) = 10 + -3x Reorder the terms: -1 + -7(5 + 7x) = 10 + -3x -1 + (5 * -7 + 7x * -7) = 10 + -3x -1 + (-35 + -49x) = 10 + -3x Combine like terms: -1 + -35 = -36 -36 + -49x = 10 + -3x Solving -36 + -49x = 10 + -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. -36 + -49x + 3x = 10 + -3x + 3x Combine like terms: -49x + 3x = -46x -36 + -46x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -36 + -46x = 10 + 0 -36 + -46x = 10 Add '36' to each side of the equation. -36 + 36 + -46x = 10 + 36 Combine like terms: -36 + 36 = 0 0 + -46x = 10 + 36 -46x = 10 + 36 Combine like terms: 10 + 36 = 46 -46x = 46 Divide each side by '-46'. x = -1 Simplifying x = -1
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