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Simplifying 6x + 37 = 14x + -32 Reorder the terms: 37 + 6x = 14x + -32 Reorder the terms: 37 + 6x = -32 + 14x Solving 37 + 6x = -32 + 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. 37 + 6x + -14x = -32 + 14x + -14x Combine like terms: 6x + -14x = -8x 37 + -8x = -32 + 14x + -14x Combine like terms: 14x + -14x = 0 37 + -8x = -32 + 0 37 + -8x = -32 Add '-37' to each side of the equation. 37 + -37 + -8x = -32 + -37 Combine like terms: 37 + -37 = 0 0 + -8x = -32 + -37 -8x = -32 + -37 Combine like terms: -32 + -37 = -69 -8x = -69 Divide each side by '-8'. x = 8.625 Simplifying x = 8.625
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