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Simplifying 4x + 6(4x + -15) = 78 Reorder the terms: 4x + 6(-15 + 4x) = 78 4x + (-15 * 6 + 4x * 6) = 78 4x + (-90 + 24x) = 78 Reorder the terms: -90 + 4x + 24x = 78 Combine like terms: 4x + 24x = 28x -90 + 28x = 78 Solving -90 + 28x = 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 + 28x = 78 + 90 Combine like terms: -90 + 90 = 0 0 + 28x = 78 + 90 28x = 78 + 90 Combine like terms: 78 + 90 = 168 28x = 168 Divide each side by '28'. x = 6 Simplifying x = 6
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