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Simplifying 5x + 10 = 7x + 2 + -4x + 6 Reorder the terms: 10 + 5x = 7x + 2 + -4x + 6 Reorder the terms: 10 + 5x = 2 + 6 + 7x + -4x Combine like terms: 2 + 6 = 8 10 + 5x = 8 + 7x + -4x Combine like terms: 7x + -4x = 3x 10 + 5x = 8 + 3x Solving 10 + 5x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 5x + -3x = 8 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = 8 + 0 10 + 2x = 8 Add '-10' to each side of the equation. 10 + -10 + 2x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 8 + -10 2x = 8 + -10 Combine like terms: 8 + -10 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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