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Simplifying -7(7 + -5x) + -4x = -24 + 6x (7 * -7 + -5x * -7) + -4x = -24 + 6x (-49 + 35x) + -4x = -24 + 6x Combine like terms: 35x + -4x = 31x -49 + 31x = -24 + 6x Solving -49 + 31x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -49 + 31x + -6x = -24 + 6x + -6x Combine like terms: 31x + -6x = 25x -49 + 25x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -49 + 25x = -24 + 0 -49 + 25x = -24 Add '49' to each side of the equation. -49 + 49 + 25x = -24 + 49 Combine like terms: -49 + 49 = 0 0 + 25x = -24 + 49 25x = -24 + 49 Combine like terms: -24 + 49 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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