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Simplifying 3x(2) + 24x + 45 = 0 Reorder the terms for easier multiplication: 3 * 2x + 24x + 45 = 0 Multiply 3 * 2 6x + 24x + 45 = 0 Reorder the terms: 45 + 6x + 24x = 0 Combine like terms: 6x + 24x = 30x 45 + 30x = 0 Solving 45 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 30x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 30x = 0 + -45 30x = 0 + -45 Combine like terms: 0 + -45 = -45 30x = -45 Divide each side by '30'. x = -1.5 Simplifying x = -1.5
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