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Simplifying 4x + -8(3 + -3x) = 36 + 8x 4x + (3 * -8 + -3x * -8) = 36 + 8x 4x + (-24 + 24x) = 36 + 8x Reorder the terms: -24 + 4x + 24x = 36 + 8x Combine like terms: 4x + 24x = 28x -24 + 28x = 36 + 8x Solving -24 + 28x = 36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 28x + -8x = 36 + 8x + -8x Combine like terms: 28x + -8x = 20x -24 + 20x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 20x = 36 + 0 -24 + 20x = 36 Add '24' to each side of the equation. -24 + 24 + 20x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 20x = 36 + 24 20x = 36 + 24 Combine like terms: 36 + 24 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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