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Simplifying 0.52(12x + 24) + 3x = 0 Reorder the terms: 0.52(24 + 12x) + 3x = 0 (24 * 0.52 + 12x * 0.52) + 3x = 0 (12.48 + 6.24x) + 3x = 0 Combine like terms: 6.24x + 3x = 9.24x 12.48 + 9.24x = 0 Solving 12.48 + 9.24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.48' to each side of the equation. 12.48 + -12.48 + 9.24x = 0 + -12.48 Combine like terms: 12.48 + -12.48 = 0.00 0.00 + 9.24x = 0 + -12.48 9.24x = 0 + -12.48 Combine like terms: 0 + -12.48 = -12.48 9.24x = -12.48 Divide each side by '9.24'. x = -1.350649351 Simplifying x = -1.350649351
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