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Simplifying -65 + 6x = 47 + -2x Solving -65 + 6x = 47 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -65 + 6x + 2x = 47 + -2x + 2x Combine like terms: 6x + 2x = 8x -65 + 8x = 47 + -2x + 2x Combine like terms: -2x + 2x = 0 -65 + 8x = 47 + 0 -65 + 8x = 47 Add '65' to each side of the equation. -65 + 65 + 8x = 47 + 65 Combine like terms: -65 + 65 = 0 0 + 8x = 47 + 65 8x = 47 + 65 Combine like terms: 47 + 65 = 112 8x = 112 Divide each side by '8'. x = 14 Simplifying x = 14
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