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Simplifying 14x + 10 + -6x = 7x + 2 + -3x Reorder the terms: 10 + 14x + -6x = 7x + 2 + -3x Combine like terms: 14x + -6x = 8x 10 + 8x = 7x + 2 + -3x Reorder the terms: 10 + 8x = 2 + 7x + -3x Combine like terms: 7x + -3x = 4x 10 + 8x = 2 + 4x Solving 10 + 8x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 8x + -4x = 2 + 4x + -4x Combine like terms: 8x + -4x = 4x 10 + 4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 4x = 2 + 0 10 + 4x = 2 Add '-10' to each side of the equation. 10 + -10 + 4x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 2 + -10 4x = 2 + -10 Combine like terms: 2 + -10 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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