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Simplifying 4(3x + 5) + -2(x + -9) = 0 Reorder the terms: 4(5 + 3x) + -2(x + -9) = 0 (5 * 4 + 3x * 4) + -2(x + -9) = 0 (20 + 12x) + -2(x + -9) = 0 Reorder the terms: 20 + 12x + -2(-9 + x) = 0 20 + 12x + (-9 * -2 + x * -2) = 0 20 + 12x + (18 + -2x) = 0 Reorder the terms: 20 + 18 + 12x + -2x = 0 Combine like terms: 20 + 18 = 38 38 + 12x + -2x = 0 Combine like terms: 12x + -2x = 10x 38 + 10x = 0 Solving 38 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 10x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 10x = 0 + -38 10x = 0 + -38 Combine like terms: 0 + -38 = -38 10x = -38 Divide each side by '10'. x = -3.8 Simplifying x = -3.8
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