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Simplifying -6x + -33 = -14x + 47 Reorder the terms: -33 + -6x = -14x + 47 Reorder the terms: -33 + -6x = 47 + -14x Solving -33 + -6x = 47 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -33 + -6x + 14x = 47 + -14x + 14x Combine like terms: -6x + 14x = 8x -33 + 8x = 47 + -14x + 14x Combine like terms: -14x + 14x = 0 -33 + 8x = 47 + 0 -33 + 8x = 47 Add '33' to each side of the equation. -33 + 33 + 8x = 47 + 33 Combine like terms: -33 + 33 = 0 0 + 8x = 47 + 33 8x = 47 + 33 Combine like terms: 47 + 33 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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