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Simplifying -5x + 25 = -8(4x + 7) Reorder the terms: 25 + -5x = -8(4x + 7) Reorder the terms: 25 + -5x = -8(7 + 4x) 25 + -5x = (7 * -8 + 4x * -8) 25 + -5x = (-56 + -32x) Solving 25 + -5x = -56 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 25 + -5x + 32x = -56 + -32x + 32x Combine like terms: -5x + 32x = 27x 25 + 27x = -56 + -32x + 32x Combine like terms: -32x + 32x = 0 25 + 27x = -56 + 0 25 + 27x = -56 Add '-25' to each side of the equation. 25 + -25 + 27x = -56 + -25 Combine like terms: 25 + -25 = 0 0 + 27x = -56 + -25 27x = -56 + -25 Combine like terms: -56 + -25 = -81 27x = -81 Divide each side by '27'. x = -3 Simplifying x = -3
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