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Simplifying -32 = 6(x + 4) + 2x Reorder the terms: -32 = 6(4 + x) + 2x -32 = (4 * 6 + x * 6) + 2x -32 = (24 + 6x) + 2x Combine like terms: 6x + 2x = 8x -32 = 24 + 8x Solving -32 = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + -8x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -8x = 24 + 0 -32 + -8x = 24 Add '32' to each side of the equation. -32 + 32 + -8x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = 24 + 32 -8x = 24 + 32 Combine like terms: 24 + 32 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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