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Simplifying 6x + 3x + 14 = 7 + -6x Reorder the terms: 14 + 6x + 3x = 7 + -6x Combine like terms: 6x + 3x = 9x 14 + 9x = 7 + -6x Solving 14 + 9x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + 9x + 6x = 7 + -6x + 6x Combine like terms: 9x + 6x = 15x 14 + 15x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 15x = 7 + 0 14 + 15x = 7 Add '-14' to each side of the equation. 14 + -14 + 15x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = 7 + -14 15x = 7 + -14 Combine like terms: 7 + -14 = -7 15x = -7 Divide each side by '15'. x = -0.4666666667 Simplifying x = -0.4666666667
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