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Simplifying 6x + 32 = 14x + -49 Reorder the terms: 32 + 6x = 14x + -49 Reorder the terms: 32 + 6x = -49 + 14x Solving 32 + 6x = -49 + 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. 32 + 6x + -14x = -49 + 14x + -14x Combine like terms: 6x + -14x = -8x 32 + -8x = -49 + 14x + -14x Combine like terms: 14x + -14x = 0 32 + -8x = -49 + 0 32 + -8x = -49 Add '-32' to each side of the equation. 32 + -32 + -8x = -49 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = -49 + -32 -8x = -49 + -32 Combine like terms: -49 + -32 = -81 -8x = -81 Divide each side by '-8'. x = 10.125 Simplifying x = 10.125
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