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Simplifying 3(x + 2) + 4x = 5(2 + -1x) + 10x Reorder the terms: 3(2 + x) + 4x = 5(2 + -1x) + 10x (2 * 3 + x * 3) + 4x = 5(2 + -1x) + 10x (6 + 3x) + 4x = 5(2 + -1x) + 10x Combine like terms: 3x + 4x = 7x 6 + 7x = 5(2 + -1x) + 10x 6 + 7x = (2 * 5 + -1x * 5) + 10x 6 + 7x = (10 + -5x) + 10x Combine like terms: -5x + 10x = 5x 6 + 7x = 10 + 5x Solving 6 + 7x = 10 + 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. 6 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x 6 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 2x = 10 + 0 6 + 2x = 10 Add '-6' to each side of the equation. 6 + -6 + 2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 10 + -6 2x = 10 + -6 Combine like terms: 10 + -6 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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