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Simplifying 4(3x + -2) + -5(2x + 1) = 0 Reorder the terms: 4(-2 + 3x) + -5(2x + 1) = 0 (-2 * 4 + 3x * 4) + -5(2x + 1) = 0 (-8 + 12x) + -5(2x + 1) = 0 Reorder the terms: -8 + 12x + -5(1 + 2x) = 0 -8 + 12x + (1 * -5 + 2x * -5) = 0 -8 + 12x + (-5 + -10x) = 0 Reorder the terms: -8 + -5 + 12x + -10x = 0 Combine like terms: -8 + -5 = -13 -13 + 12x + -10x = 0 Combine like terms: 12x + -10x = 2x -13 + 2x = 0 Solving -13 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 0 + 13 2x = 0 + 13 Combine like terms: 0 + 13 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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