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Simplifying 4[5 + -1(8x + -2)] = 128x + 52 Reorder the terms: 4[5 + -1(-2 + 8x)] = 128x + 52 4[5 + (-2 * -1 + 8x * -1)] = 128x + 52 4[5 + (2 + -8x)] = 128x + 52 Combine like terms: 5 + 2 = 7 4[7 + -8x] = 128x + 52 [7 * 4 + -8x * 4] = 128x + 52 [28 + -32x] = 128x + 52 Reorder the terms: 28 + -32x = 52 + 128x Solving 28 + -32x = 52 + 128x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-128x' to each side of the equation. 28 + -32x + -128x = 52 + 128x + -128x Combine like terms: -32x + -128x = -160x 28 + -160x = 52 + 128x + -128x Combine like terms: 128x + -128x = 0 28 + -160x = 52 + 0 28 + -160x = 52 Add '-28' to each side of the equation. 28 + -28 + -160x = 52 + -28 Combine like terms: 28 + -28 = 0 0 + -160x = 52 + -28 -160x = 52 + -28 Combine like terms: 52 + -28 = 24 -160x = 24 Divide each side by '-160'. x = -0.15 Simplifying x = -0.15
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