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Simplifying -2x + -10 + 7x = 6x + 14 + -4x Reorder the terms: -10 + -2x + 7x = 6x + 14 + -4x Combine like terms: -2x + 7x = 5x -10 + 5x = 6x + 14 + -4x Reorder the terms: -10 + 5x = 14 + 6x + -4x Combine like terms: 6x + -4x = 2x -10 + 5x = 14 + 2x Solving -10 + 5x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 5x + -2x = 14 + 2x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 3x = 14 + 0 -10 + 3x = 14 Add '10' to each side of the equation. -10 + 10 + 3x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 14 + 10 3x = 14 + 10 Combine like terms: 14 + 10 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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