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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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