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Simplifying 7x + 5 + -2x = 3 + -4x + 11 Reorder the terms: 5 + 7x + -2x = 3 + -4x + 11 Combine like terms: 7x + -2x = 5x 5 + 5x = 3 + -4x + 11 Reorder the terms: 5 + 5x = 3 + 11 + -4x Combine like terms: 3 + 11 = 14 5 + 5x = 14 + -4x Solving 5 + 5x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 5x + 4x = 14 + -4x + 4x Combine like terms: 5x + 4x = 9x 5 + 9x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 9x = 14 + 0 5 + 9x = 14 Add '-5' to each side of the equation. 5 + -5 + 9x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 14 + -5 9x = 14 + -5 Combine like terms: 14 + -5 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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