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Simplifying 7 + -5[5(x + -2) + 10] = 4(5 + -5x) Reorder the terms: 7 + -5[5(-2 + x) + 10] = 4(5 + -5x) 7 + -5[(-2 * 5 + x * 5) + 10] = 4(5 + -5x) 7 + -5[(-10 + 5x) + 10] = 4(5 + -5x) Reorder the terms: 7 + -5[-10 + 10 + 5x] = 4(5 + -5x) Combine like terms: -10 + 10 = 0 7 + -5[0 + 5x] = 4(5 + -5x) 7 + -5[5x] = 4(5 + -5x) Remove brackets around [5x] 7 + -5 * 5x = 4(5 + -5x) Multiply -5 * 5 7 + -25x = 4(5 + -5x) 7 + -25x = (5 * 4 + -5x * 4) 7 + -25x = (20 + -20x) Solving 7 + -25x = 20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 7 + -25x + 20x = 20 + -20x + 20x Combine like terms: -25x + 20x = -5x 7 + -5x = 20 + -20x + 20x Combine like terms: -20x + 20x = 0 7 + -5x = 20 + 0 7 + -5x = 20 Add '-7' to each side of the equation. 7 + -7 + -5x = 20 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 20 + -7 -5x = 20 + -7 Combine like terms: 20 + -7 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6
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