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Simplifying 7[4 + -1(-4x + -8)] = 252x + 532 Reorder the terms: 7[4 + -1(-8 + -4x)] = 252x + 532 7[4 + (-8 * -1 + -4x * -1)] = 252x + 532 7[4 + (8 + 4x)] = 252x + 532 Combine like terms: 4 + 8 = 12 7[12 + 4x] = 252x + 532 [12 * 7 + 4x * 7] = 252x + 532 [84 + 28x] = 252x + 532 Reorder the terms: 84 + 28x = 532 + 252x Solving 84 + 28x = 532 + 252x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-252x' to each side of the equation. 84 + 28x + -252x = 532 + 252x + -252x Combine like terms: 28x + -252x = -224x 84 + -224x = 532 + 252x + -252x Combine like terms: 252x + -252x = 0 84 + -224x = 532 + 0 84 + -224x = 532 Add '-84' to each side of the equation. 84 + -84 + -224x = 532 + -84 Combine like terms: 84 + -84 = 0 0 + -224x = 532 + -84 -224x = 532 + -84 Combine like terms: 532 + -84 = 448 -224x = 448 Divide each side by '-224'. x = -2 Simplifying x = -2
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