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Simplifying 4(3x + -2) + -2(5x + 3) = 0 Reorder the terms: 4(-2 + 3x) + -2(5x + 3) = 0 (-2 * 4 + 3x * 4) + -2(5x + 3) = 0 (-8 + 12x) + -2(5x + 3) = 0 Reorder the terms: -8 + 12x + -2(3 + 5x) = 0 -8 + 12x + (3 * -2 + 5x * -2) = 0 -8 + 12x + (-6 + -10x) = 0 Reorder the terms: -8 + -6 + 12x + -10x = 0 Combine like terms: -8 + -6 = -14 -14 + 12x + -10x = 0 Combine like terms: 12x + -10x = 2x -14 + 2x = 0 Solving -14 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 0 + 14 2x = 0 + 14 Combine like terms: 0 + 14 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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