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Simplifying 4(12 + -3x) + 5x + -3(13) + 9.5x = 0 (12 * 4 + -3x * 4) + 5x + -3(13) + 9.5x = 0 (48 + -12x) + 5x + -3(13) + 9.5x = 0 Multiply -3 * 13 48 + -12x + 5x + -39 + 9.5x = 0 Reorder the terms: 48 + -39 + -12x + 5x + 9.5x = 0 Combine like terms: 48 + -39 = 9 9 + -12x + 5x + 9.5x = 0 Combine like terms: -12x + 5x = -7x 9 + -7x + 9.5x = 0 Combine like terms: -7x + 9.5x = 2.5x 9 + 2.5x = 0 Solving 9 + 2.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2.5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2.5x = 0 + -9 2.5x = 0 + -9 Combine like terms: 0 + -9 = -9 2.5x = -9 Divide each side by '2.5'. x = -3.6 Simplifying x = -3.6
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