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Simplifying 4(6 + -2x) + -3(3 + -4x) = 0 (6 * 4 + -2x * 4) + -3(3 + -4x) = 0 (24 + -8x) + -3(3 + -4x) = 0 24 + -8x + (3 * -3 + -4x * -3) = 0 24 + -8x + (-9 + 12x) = 0 Reorder the terms: 24 + -9 + -8x + 12x = 0 Combine like terms: 24 + -9 = 15 15 + -8x + 12x = 0 Combine like terms: -8x + 12x = 4x 15 + 4x = 0 Solving 15 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 0 + -15 4x = 0 + -15 Combine like terms: 0 + -15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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