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Simplifying 7[3 + -1(-4x + -1)] = 252x + 84 Reorder the terms: 7[3 + -1(-1 + -4x)] = 252x + 84 7[3 + (-1 * -1 + -4x * -1)] = 252x + 84 7[3 + (1 + 4x)] = 252x + 84 Combine like terms: 3 + 1 = 4 7[4 + 4x] = 252x + 84 [4 * 7 + 4x * 7] = 252x + 84 [28 + 28x] = 252x + 84 Reorder the terms: 28 + 28x = 84 + 252x Solving 28 + 28x = 84 + 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. 28 + 28x + -252x = 84 + 252x + -252x Combine like terms: 28x + -252x = -224x 28 + -224x = 84 + 252x + -252x Combine like terms: 252x + -252x = 0 28 + -224x = 84 + 0 28 + -224x = 84 Add '-28' to each side of the equation. 28 + -28 + -224x = 84 + -28 Combine like terms: 28 + -28 = 0 0 + -224x = 84 + -28 -224x = 84 + -28 Combine like terms: 84 + -28 = 56 -224x = 56 Divide each side by '-224'. x = -0.25 Simplifying x = -0.25
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