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Simplifying 5x + 2 + -7x = 6x + -14 Reorder the terms: 2 + 5x + -7x = 6x + -14 Combine like terms: 5x + -7x = -2x 2 + -2x = 6x + -14 Reorder the terms: 2 + -2x = -14 + 6x Solving 2 + -2x = -14 + 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. 2 + -2x + -6x = -14 + 6x + -6x Combine like terms: -2x + -6x = -8x 2 + -8x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -8x = -14 + 0 2 + -8x = -14 Add '-2' to each side of the equation. 2 + -2 + -8x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -14 + -2 -8x = -14 + -2 Combine like terms: -14 + -2 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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