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Simplifying 7x + 10 + -2x = 3x + -6 Reorder the terms: 10 + 7x + -2x = 3x + -6 Combine like terms: 7x + -2x = 5x 10 + 5x = 3x + -6 Reorder the terms: 10 + 5x = -6 + 3x Solving 10 + 5x = -6 + 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 = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = -6 + 0 10 + 2x = -6 Add '-10' to each side of the equation. 10 + -10 + 2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -6 + -10 2x = -6 + -10 Combine like terms: -6 + -10 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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