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Simplifying 4x + -5(-4x + 18) = 78 Reorder the terms: 4x + -5(18 + -4x) = 78 4x + (18 * -5 + -4x * -5) = 78 4x + (-90 + 20x) = 78 Reorder the terms: -90 + 4x + 20x = 78 Combine like terms: 4x + 20x = 24x -90 + 24x = 78 Solving -90 + 24x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 24x = 78 + 90 Combine like terms: -90 + 90 = 0 0 + 24x = 78 + 90 24x = 78 + 90 Combine like terms: 78 + 90 = 168 24x = 168 Divide each side by '24'. x = 7 Simplifying x = 7
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