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Simplifying 7x + -5 = 2x + 3(x + 2) Reorder the terms: -5 + 7x = 2x + 3(x + 2) Reorder the terms: -5 + 7x = 2x + 3(2 + x) -5 + 7x = 2x + (2 * 3 + x * 3) -5 + 7x = 2x + (6 + 3x) Reorder the terms: -5 + 7x = 6 + 2x + 3x Combine like terms: 2x + 3x = 5x -5 + 7x = 6 + 5x Solving -5 + 7x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 7x + -5x = 6 + 5x + -5x Combine like terms: 7x + -5x = 2x -5 + 2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 2x = 6 + 0 -5 + 2x = 6 Add '5' to each side of the equation. -5 + 5 + 2x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 6 + 5 2x = 6 + 5 Combine like terms: 6 + 5 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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