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Simplifying 8x + -1(3x + -25) = 12x + -4(2x + -9) Reorder the terms: 8x + -1(-25 + 3x) = 12x + -4(2x + -9) 8x + (-25 * -1 + 3x * -1) = 12x + -4(2x + -9) 8x + (25 + -3x) = 12x + -4(2x + -9) Reorder the terms: 25 + 8x + -3x = 12x + -4(2x + -9) Combine like terms: 8x + -3x = 5x 25 + 5x = 12x + -4(2x + -9) Reorder the terms: 25 + 5x = 12x + -4(-9 + 2x) 25 + 5x = 12x + (-9 * -4 + 2x * -4) 25 + 5x = 12x + (36 + -8x) Reorder the terms: 25 + 5x = 36 + 12x + -8x Combine like terms: 12x + -8x = 4x 25 + 5x = 36 + 4x Solving 25 + 5x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25 + 5x + -4x = 36 + 4x + -4x Combine like terms: 5x + -4x = 1x 25 + 1x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + 1x = 36 + 0 25 + 1x = 36 Add '-25' to each side of the equation. 25 + -25 + 1x = 36 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 36 + -25 1x = 36 + -25 Combine like terms: 36 + -25 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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