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Simplifying 6x + 29 = 14x + -49 Reorder the terms: 29 + 6x = 14x + -49 Reorder the terms: 29 + 6x = -49 + 14x Solving 29 + 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. 29 + 6x + -14x = -49 + 14x + -14x Combine like terms: 6x + -14x = -8x 29 + -8x = -49 + 14x + -14x Combine like terms: 14x + -14x = 0 29 + -8x = -49 + 0 29 + -8x = -49 Add '-29' to each side of the equation. 29 + -29 + -8x = -49 + -29 Combine like terms: 29 + -29 = 0 0 + -8x = -49 + -29 -8x = -49 + -29 Combine like terms: -49 + -29 = -78 -8x = -78 Divide each side by '-8'. x = 9.75 Simplifying x = 9.75
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