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Simplifying 5(6x + 4) + -4(3x + -8) = 0 Reorder the terms: 5(4 + 6x) + -4(3x + -8) = 0 (4 * 5 + 6x * 5) + -4(3x + -8) = 0 (20 + 30x) + -4(3x + -8) = 0 Reorder the terms: 20 + 30x + -4(-8 + 3x) = 0 20 + 30x + (-8 * -4 + 3x * -4) = 0 20 + 30x + (32 + -12x) = 0 Reorder the terms: 20 + 32 + 30x + -12x = 0 Combine like terms: 20 + 32 = 52 52 + 30x + -12x = 0 Combine like terms: 30x + -12x = 18x 52 + 18x = 0 Solving 52 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 18x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 18x = 0 + -52 18x = 0 + -52 Combine like terms: 0 + -52 = -52 18x = -52 Divide each side by '18'. x = -2.888888889 Simplifying x = -2.888888889
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