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Simplifying 6x + -4x + 2 = 15 + -5x + 1 Reorder the terms: 2 + 6x + -4x = 15 + -5x + 1 Combine like terms: 6x + -4x = 2x 2 + 2x = 15 + -5x + 1 Reorder the terms: 2 + 2x = 15 + 1 + -5x Combine like terms: 15 + 1 = 16 2 + 2x = 16 + -5x Solving 2 + 2x = 16 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 2x + 5x = 16 + -5x + 5x Combine like terms: 2x + 5x = 7x 2 + 7x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 7x = 16 + 0 2 + 7x = 16 Add '-2' to each side of the equation. 2 + -2 + 7x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 16 + -2 7x = 16 + -2 Combine like terms: 16 + -2 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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