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Simplifying 7x + 6 + -3x = 7 + 3x + 10 Reorder the terms: 6 + 7x + -3x = 7 + 3x + 10 Combine like terms: 7x + -3x = 4x 6 + 4x = 7 + 3x + 10 Reorder the terms: 6 + 4x = 7 + 10 + 3x Combine like terms: 7 + 10 = 17 6 + 4x = 17 + 3x Solving 6 + 4x = 17 + 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. 6 + 4x + -3x = 17 + 3x + -3x Combine like terms: 4x + -3x = 1x 6 + 1x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1x = 17 + 0 6 + 1x = 17 Add '-6' to each side of the equation. 6 + -6 + 1x = 17 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 17 + -6 1x = 17 + -6 Combine like terms: 17 + -6 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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