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Simplifying 7x + 5 + -3x = 10 + 3x + 1 Reorder the terms: 5 + 7x + -3x = 10 + 3x + 1 Combine like terms: 7x + -3x = 4x 5 + 4x = 10 + 3x + 1 Reorder the terms: 5 + 4x = 10 + 1 + 3x Combine like terms: 10 + 1 = 11 5 + 4x = 11 + 3x Solving 5 + 4x = 11 + 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. 5 + 4x + -3x = 11 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = 11 + 0 5 + 1x = 11 Add '-5' to each side of the equation. 5 + -5 + 1x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 11 + -5 1x = 11 + -5 Combine like terms: 11 + -5 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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