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Simplifying 5(5 + -4x) + -5x = -7 + 7x (5 * 5 + -4x * 5) + -5x = -7 + 7x (25 + -20x) + -5x = -7 + 7x Combine like terms: -20x + -5x = -25x 25 + -25x = -7 + 7x Solving 25 + -25x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 25 + -25x + -7x = -7 + 7x + -7x Combine like terms: -25x + -7x = -32x 25 + -32x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + -32x = -7 + 0 25 + -32x = -7 Add '-25' to each side of the equation. 25 + -25 + -32x = -7 + -25 Combine like terms: 25 + -25 = 0 0 + -32x = -7 + -25 -32x = -7 + -25 Combine like terms: -7 + -25 = -32 -32x = -32 Divide each side by '-32'. x = 1 Simplifying x = 1
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