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Simplifying 8[1 + -1(-8x + -5)] = 512x + 328 Reorder the terms: 8[1 + -1(-5 + -8x)] = 512x + 328 8[1 + (-5 * -1 + -8x * -1)] = 512x + 328 8[1 + (5 + 8x)] = 512x + 328 Combine like terms: 1 + 5 = 6 8[6 + 8x] = 512x + 328 [6 * 8 + 8x * 8] = 512x + 328 [48 + 64x] = 512x + 328 Reorder the terms: 48 + 64x = 328 + 512x Solving 48 + 64x = 328 + 512x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-512x' to each side of the equation. 48 + 64x + -512x = 328 + 512x + -512x Combine like terms: 64x + -512x = -448x 48 + -448x = 328 + 512x + -512x Combine like terms: 512x + -512x = 0 48 + -448x = 328 + 0 48 + -448x = 328 Add '-48' to each side of the equation. 48 + -48 + -448x = 328 + -48 Combine like terms: 48 + -48 = 0 0 + -448x = 328 + -48 -448x = 328 + -48 Combine like terms: 328 + -48 = 280 -448x = 280 Divide each side by '-448'. x = -0.625 Simplifying x = -0.625
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