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Simplifying -47 + 2x + 15 = -6x Reorder the terms: -47 + 15 + 2x = -6x Combine like terms: -47 + 15 = -32 -32 + 2x = -6x Solving -32 + 2x = -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. -32 + 2x + 6x = -6x + 6x Combine like terms: 2x + 6x = 8x -32 + 8x = -6x + 6x Combine like terms: -6x + 6x = 0 -32 + 8x = 0 Add '32' to each side of the equation. -32 + 32 + 8x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 0 + 32 8x = 0 + 32 Combine like terms: 0 + 32 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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