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Simplifying 3(x + 1) + -2(4x + 2) = 0 Reorder the terms: 3(1 + x) + -2(4x + 2) = 0 (1 * 3 + x * 3) + -2(4x + 2) = 0 (3 + 3x) + -2(4x + 2) = 0 Reorder the terms: 3 + 3x + -2(2 + 4x) = 0 3 + 3x + (2 * -2 + 4x * -2) = 0 3 + 3x + (-4 + -8x) = 0 Reorder the terms: 3 + -4 + 3x + -8x = 0 Combine like terms: 3 + -4 = -1 -1 + 3x + -8x = 0 Combine like terms: 3x + -8x = -5x -1 + -5x = 0 Solving -1 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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