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Simplifying 3x + 2(x + 2) = 5 + -4x + 2 Reorder the terms: 3x + 2(2 + x) = 5 + -4x + 2 3x + (2 * 2 + x * 2) = 5 + -4x + 2 3x + (4 + 2x) = 5 + -4x + 2 Reorder the terms: 4 + 3x + 2x = 5 + -4x + 2 Combine like terms: 3x + 2x = 5x 4 + 5x = 5 + -4x + 2 Reorder the terms: 4 + 5x = 5 + 2 + -4x Combine like terms: 5 + 2 = 7 4 + 5x = 7 + -4x Solving 4 + 5x = 7 + -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. 4 + 5x + 4x = 7 + -4x + 4x Combine like terms: 5x + 4x = 9x 4 + 9x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 9x = 7 + 0 4 + 9x = 7 Add '-4' to each side of the equation. 4 + -4 + 9x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 7 + -4 9x = 7 + -4 Combine like terms: 7 + -4 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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