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Simplifying 4(2x + 3) + -5(4x + -6) = 0 Reorder the terms: 4(3 + 2x) + -5(4x + -6) = 0 (3 * 4 + 2x * 4) + -5(4x + -6) = 0 (12 + 8x) + -5(4x + -6) = 0 Reorder the terms: 12 + 8x + -5(-6 + 4x) = 0 12 + 8x + (-6 * -5 + 4x * -5) = 0 12 + 8x + (30 + -20x) = 0 Reorder the terms: 12 + 30 + 8x + -20x = 0 Combine like terms: 12 + 30 = 42 42 + 8x + -20x = 0 Combine like terms: 8x + -20x = -12x 42 + -12x = 0 Solving 42 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -12x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = 0 + -42 -12x = 0 + -42 Combine like terms: 0 + -42 = -42 -12x = -42 Divide each side by '-12'. x = 3.5 Simplifying x = 3.5
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