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Simplifying 6x + -14 + 2x = 2(-7 + 3x) Reorder the terms: -14 + 6x + 2x = 2(-7 + 3x) Combine like terms: 6x + 2x = 8x -14 + 8x = 2(-7 + 3x) -14 + 8x = (-7 * 2 + 3x * 2) -14 + 8x = (-14 + 6x) Add '14' to each side of the equation. -14 + 14 + 8x = -14 + 14 + 6x Combine like terms: -14 + 14 = 0 0 + 8x = -14 + 14 + 6x 8x = -14 + 14 + 6x Combine like terms: -14 + 14 = 0 8x = 0 + 6x 8x = 6x Solving 8x = 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. 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 2x = 6x + -6x Combine like terms: 6x + -6x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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