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Simplifying 4(x + -2) + 3(2x + 1) = 0 Reorder the terms: 4(-2 + x) + 3(2x + 1) = 0 (-2 * 4 + x * 4) + 3(2x + 1) = 0 (-8 + 4x) + 3(2x + 1) = 0 Reorder the terms: -8 + 4x + 3(1 + 2x) = 0 -8 + 4x + (1 * 3 + 2x * 3) = 0 -8 + 4x + (3 + 6x) = 0 Reorder the terms: -8 + 3 + 4x + 6x = 0 Combine like terms: -8 + 3 = -5 -5 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x -5 + 10x = 0 Solving -5 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 10x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 0 + 5 10x = 0 + 5 Combine like terms: 0 + 5 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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