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Simplifying 6x + 14 = 7x + 2x + -13 Reorder the terms: 14 + 6x = 7x + 2x + -13 Reorder the terms: 14 + 6x = -13 + 7x + 2x Combine like terms: 7x + 2x = 9x 14 + 6x = -13 + 9x Solving 14 + 6x = -13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + 6x + -9x = -13 + 9x + -9x Combine like terms: 6x + -9x = -3x 14 + -3x = -13 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -3x = -13 + 0 14 + -3x = -13 Add '-14' to each side of the equation. 14 + -14 + -3x = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -13 + -14 -3x = -13 + -14 Combine like terms: -13 + -14 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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