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Simplifying 5(x + -4) + -2(3x + -6) = 0 Reorder the terms: 5(-4 + x) + -2(3x + -6) = 0 (-4 * 5 + x * 5) + -2(3x + -6) = 0 (-20 + 5x) + -2(3x + -6) = 0 Reorder the terms: -20 + 5x + -2(-6 + 3x) = 0 -20 + 5x + (-6 * -2 + 3x * -2) = 0 -20 + 5x + (12 + -6x) = 0 Reorder the terms: -20 + 12 + 5x + -6x = 0 Combine like terms: -20 + 12 = -8 -8 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x -8 + -1x = 0 Solving -8 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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