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Simplifying 4(x + -6) + 2(3x + -5) = 0 Reorder the terms: 4(-6 + x) + 2(3x + -5) = 0 (-6 * 4 + x * 4) + 2(3x + -5) = 0 (-24 + 4x) + 2(3x + -5) = 0 Reorder the terms: -24 + 4x + 2(-5 + 3x) = 0 -24 + 4x + (-5 * 2 + 3x * 2) = 0 -24 + 4x + (-10 + 6x) = 0 Reorder the terms: -24 + -10 + 4x + 6x = 0 Combine like terms: -24 + -10 = -34 -34 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x -34 + 10x = 0 Solving -34 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 10x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 10x = 0 + 34 10x = 0 + 34 Combine like terms: 0 + 34 = 34 10x = 34 Divide each side by '10'. x = 3.4 Simplifying x = 3.4
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