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Simplifying 6x + -2(2x + 4) = 6x + -32 Reorder the terms: 6x + -2(4 + 2x) = 6x + -32 6x + (4 * -2 + 2x * -2) = 6x + -32 6x + (-8 + -4x) = 6x + -32 Reorder the terms: -8 + 6x + -4x = 6x + -32 Combine like terms: 6x + -4x = 2x -8 + 2x = 6x + -32 Reorder the terms: -8 + 2x = -32 + 6x Solving -8 + 2x = -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 + 2x + -6x = -32 + 6x + -6x Combine like terms: 2x + -6x = -4x -8 + -4x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -4x = -32 + 0 -8 + -4x = -32 Add '8' to each side of the equation. -8 + 8 + -4x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -32 + 8 -4x = -32 + 8 Combine like terms: -32 + 8 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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