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Simplifying 5[x + 5] = -25[4 + x] + 10 Reorder the terms: 5[5 + x] = -25[4 + x] + 10 [5 * 5 + x * 5] = -25[4 + x] + 10 [25 + 5x] = -25[4 + x] + 10 25 + 5x = [4 * -25 + x * -25] + 10 25 + 5x = [-100 + -25x] + 10 Reorder the terms: 25 + 5x = -100 + 10 + -25x Combine like terms: -100 + 10 = -90 25 + 5x = -90 + -25x Solving 25 + 5x = -90 + -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. 25 + 5x + 25x = -90 + -25x + 25x Combine like terms: 5x + 25x = 30x 25 + 30x = -90 + -25x + 25x Combine like terms: -25x + 25x = 0 25 + 30x = -90 + 0 25 + 30x = -90 Add '-25' to each side of the equation. 25 + -25 + 30x = -90 + -25 Combine like terms: 25 + -25 = 0 0 + 30x = -90 + -25 30x = -90 + -25 Combine like terms: -90 + -25 = -115 30x = -115 Divide each side by '30'. x = -3.833333333 Simplifying x = -3.833333333
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