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Simplifying 3(5 + 3) + -4x(6 + -4) = 0 Combine like terms: 5 + 3 = 8 3(8) + -4x(6 + -4) = 0 Multiply 3 * 8 24 + -4x(6 + -4) = 0 Combine like terms: 6 + -4 = 2 24 + -4x(2) = 0 Reorder the terms for easier multiplication: 24 + -4 * 2x = 0 Multiply -4 * 2 24 + -8x = 0 Solving 24 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -8x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 0 + -24 -8x = 0 + -24 Combine like terms: 0 + -24 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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