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Simplifying -9x + 28 = -5(12 + 5x + 8) Reorder the terms: 28 + -9x = -5(12 + 5x + 8) Reorder the terms: 28 + -9x = -5(12 + 8 + 5x) Combine like terms: 12 + 8 = 20 28 + -9x = -5(20 + 5x) 28 + -9x = (20 * -5 + 5x * -5) 28 + -9x = (-100 + -25x) Solving 28 + -9x = -100 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 28 + -9x + 25x = -100 + -25x + 25x Combine like terms: -9x + 25x = 16x 28 + 16x = -100 + -25x + 25x Combine like terms: -25x + 25x = 0 28 + 16x = -100 + 0 28 + 16x = -100 Add '-28' to each side of the equation. 28 + -28 + 16x = -100 + -28 Combine like terms: 28 + -28 = 0 0 + 16x = -100 + -28 16x = -100 + -28 Combine like terms: -100 + -28 = -128 16x = -128 Divide each side by '16'. x = -8 Simplifying x = -8
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