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Simplifying 8[1 + -1(-8x + -3)] = 256x + 106 Reorder the terms: 8[1 + -1(-3 + -8x)] = 256x + 106 8[1 + (-3 * -1 + -8x * -1)] = 256x + 106 8[1 + (3 + 8x)] = 256x + 106 Combine like terms: 1 + 3 = 4 8[4 + 8x] = 256x + 106 [4 * 8 + 8x * 8] = 256x + 106 [32 + 64x] = 256x + 106 Reorder the terms: 32 + 64x = 106 + 256x Solving 32 + 64x = 106 + 256x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-256x' to each side of the equation. 32 + 64x + -256x = 106 + 256x + -256x Combine like terms: 64x + -256x = -192x 32 + -192x = 106 + 256x + -256x Combine like terms: 256x + -256x = 0 32 + -192x = 106 + 0 32 + -192x = 106 Add '-32' to each side of the equation. 32 + -32 + -192x = 106 + -32 Combine like terms: 32 + -32 = 0 0 + -192x = 106 + -32 -192x = 106 + -32 Combine like terms: 106 + -32 = 74 -192x = 74 Divide each side by '-192'. x = -0.3854166667 Simplifying x = -0.3854166667
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