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Simplifying 4[8 + -1(-7x + -7)] = 252x + 284 Reorder the terms: 4[8 + -1(-7 + -7x)] = 252x + 284 4[8 + (-7 * -1 + -7x * -1)] = 252x + 284 4[8 + (7 + 7x)] = 252x + 284 Combine like terms: 8 + 7 = 15 4[15 + 7x] = 252x + 284 [15 * 4 + 7x * 4] = 252x + 284 [60 + 28x] = 252x + 284 Reorder the terms: 60 + 28x = 284 + 252x Solving 60 + 28x = 284 + 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. 60 + 28x + -252x = 284 + 252x + -252x Combine like terms: 28x + -252x = -224x 60 + -224x = 284 + 252x + -252x Combine like terms: 252x + -252x = 0 60 + -224x = 284 + 0 60 + -224x = 284 Add '-60' to each side of the equation. 60 + -60 + -224x = 284 + -60 Combine like terms: 60 + -60 = 0 0 + -224x = 284 + -60 -224x = 284 + -60 Combine like terms: 284 + -60 = 224 -224x = 224 Divide each side by '-224'. x = -1 Simplifying x = -1
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