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Simplifying 6x + 12 = 114 + -8x Reorder the terms: 12 + 6x = 114 + -8x Solving 12 + 6x = 114 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 6x + 8x = 114 + -8x + 8x Combine like terms: 6x + 8x = 14x 12 + 14x = 114 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 14x = 114 + 0 12 + 14x = 114 Add '-12' to each side of the equation. 12 + -12 + 14x = 114 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 114 + -12 14x = 114 + -12 Combine like terms: 114 + -12 = 102 14x = 102 Divide each side by '14'. x = 7.285714286 Simplifying x = 7.285714286
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