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Simplifying 3(2x + 1) + 4(x + -2) = 3x + 1 Reorder the terms: 3(1 + 2x) + 4(x + -2) = 3x + 1 (1 * 3 + 2x * 3) + 4(x + -2) = 3x + 1 (3 + 6x) + 4(x + -2) = 3x + 1 Reorder the terms: 3 + 6x + 4(-2 + x) = 3x + 1 3 + 6x + (-2 * 4 + x * 4) = 3x + 1 3 + 6x + (-8 + 4x) = 3x + 1 Reorder the terms: 3 + -8 + 6x + 4x = 3x + 1 Combine like terms: 3 + -8 = -5 -5 + 6x + 4x = 3x + 1 Combine like terms: 6x + 4x = 10x -5 + 10x = 3x + 1 Reorder the terms: -5 + 10x = 1 + 3x Solving -5 + 10x = 1 + 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 + 10x + -3x = 1 + 3x + -3x Combine like terms: 10x + -3x = 7x -5 + 7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 7x = 1 + 0 -5 + 7x = 1 Add '5' to each side of the equation. -5 + 5 + 7x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 1 + 5 7x = 1 + 5 Combine like terms: 1 + 5 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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