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Simplifying 8x + -1(4x + 8) = 6x + -32 Reorder the terms: 8x + -1(8 + 4x) = 6x + -32 8x + (8 * -1 + 4x * -1) = 6x + -32 8x + (-8 + -4x) = 6x + -32 Reorder the terms: -8 + 8x + -4x = 6x + -32 Combine like terms: 8x + -4x = 4x -8 + 4x = 6x + -32 Reorder the terms: -8 + 4x = -32 + 6x Solving -8 + 4x = -32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 4x + -6x = -32 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = -32 + 0 -8 + -2x = -32 Add '8' to each side of the equation. -8 + 8 + -2x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -32 + 8 -2x = -32 + 8 Combine like terms: -32 + 8 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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