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Simplifying -5(7x + -5) + 4x = 3x + -9 Reorder the terms: -5(-5 + 7x) + 4x = 3x + -9 (-5 * -5 + 7x * -5) + 4x = 3x + -9 (25 + -35x) + 4x = 3x + -9 Combine like terms: -35x + 4x = -31x 25 + -31x = 3x + -9 Reorder the terms: 25 + -31x = -9 + 3x Solving 25 + -31x = -9 + 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. 25 + -31x + -3x = -9 + 3x + -3x Combine like terms: -31x + -3x = -34x 25 + -34x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + -34x = -9 + 0 25 + -34x = -9 Add '-25' to each side of the equation. 25 + -25 + -34x = -9 + -25 Combine like terms: 25 + -25 = 0 0 + -34x = -9 + -25 -34x = -9 + -25 Combine like terms: -9 + -25 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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