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Simplifying 5x + -3x + 2 = 6x + 2x + 14 Reorder the terms: 2 + 5x + -3x = 6x + 2x + 14 Combine like terms: 5x + -3x = 2x 2 + 2x = 6x + 2x + 14 Reorder the terms: 2 + 2x = 14 + 6x + 2x Combine like terms: 6x + 2x = 8x 2 + 2x = 14 + 8x Solving 2 + 2x = 14 + 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. 2 + 2x + -8x = 14 + 8x + -8x Combine like terms: 2x + -8x = -6x 2 + -6x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -6x = 14 + 0 2 + -6x = 14 Add '-2' to each side of the equation. 2 + -2 + -6x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 14 + -2 -6x = 14 + -2 Combine like terms: 14 + -2 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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