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Simplifying 8(x + -8) + 8x = -8(4 + -6x) Reorder the terms: 8(-8 + x) + 8x = -8(4 + -6x) (-8 * 8 + x * 8) + 8x = -8(4 + -6x) (-64 + 8x) + 8x = -8(4 + -6x) Combine like terms: 8x + 8x = 16x -64 + 16x = -8(4 + -6x) -64 + 16x = (4 * -8 + -6x * -8) -64 + 16x = (-32 + 48x) Solving -64 + 16x = -32 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -64 + 16x + -48x = -32 + 48x + -48x Combine like terms: 16x + -48x = -32x -64 + -32x = -32 + 48x + -48x Combine like terms: 48x + -48x = 0 -64 + -32x = -32 + 0 -64 + -32x = -32 Add '64' to each side of the equation. -64 + 64 + -32x = -32 + 64 Combine like terms: -64 + 64 = 0 0 + -32x = -32 + 64 -32x = -32 + 64 Combine like terms: -32 + 64 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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