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Simplifying 2(3x + -5) + -4(x + -8) = 0 Reorder the terms: 2(-5 + 3x) + -4(x + -8) = 0 (-5 * 2 + 3x * 2) + -4(x + -8) = 0 (-10 + 6x) + -4(x + -8) = 0 Reorder the terms: -10 + 6x + -4(-8 + x) = 0 -10 + 6x + (-8 * -4 + x * -4) = 0 -10 + 6x + (32 + -4x) = 0 Reorder the terms: -10 + 32 + 6x + -4x = 0 Combine like terms: -10 + 32 = 22 22 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 22 + 2x = 0 Solving 22 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 0 + -22 2x = 0 + -22 Combine like terms: 0 + -22 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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