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Simplifying 6x + -2 = 14x + -47 Reorder the terms: -2 + 6x = 14x + -47 Reorder the terms: -2 + 6x = -47 + 14x Solving -2 + 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. -2 + 6x + -14x = -47 + 14x + -14x Combine like terms: 6x + -14x = -8x -2 + -8x = -47 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -8x = -47 + 0 -2 + -8x = -47 Add '2' to each side of the equation. -2 + 2 + -8x = -47 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -47 + 2 -8x = -47 + 2 Combine like terms: -47 + 2 = -45 -8x = -45 Divide each side by '-8'. x = 5.625 Simplifying x = 5.625
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