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Simplifying -5(2x + 3) + 4(x + -6) = 0 Reorder the terms: -5(3 + 2x) + 4(x + -6) = 0 (3 * -5 + 2x * -5) + 4(x + -6) = 0 (-15 + -10x) + 4(x + -6) = 0 Reorder the terms: -15 + -10x + 4(-6 + x) = 0 -15 + -10x + (-6 * 4 + x * 4) = 0 -15 + -10x + (-24 + 4x) = 0 Reorder the terms: -15 + -24 + -10x + 4x = 0 Combine like terms: -15 + -24 = -39 -39 + -10x + 4x = 0 Combine like terms: -10x + 4x = -6x -39 + -6x = 0 Solving -39 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -6x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -6x = 0 + 39 -6x = 0 + 39 Combine like terms: 0 + 39 = 39 -6x = 39 Divide each side by '-6'. x = -6.5 Simplifying x = -6.5
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