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Simplifying -5x + -6(3x + -6) = 5x + 36 Reorder the terms: -5x + -6(-6 + 3x) = 5x + 36 -5x + (-6 * -6 + 3x * -6) = 5x + 36 -5x + (36 + -18x) = 5x + 36 Reorder the terms: 36 + -5x + -18x = 5x + 36 Combine like terms: -5x + -18x = -23x 36 + -23x = 5x + 36 Reorder the terms: 36 + -23x = 36 + 5x Add '-36' to each side of the equation. 36 + -36 + -23x = 36 + -36 + 5x Combine like terms: 36 + -36 = 0 0 + -23x = 36 + -36 + 5x -23x = 36 + -36 + 5x Combine like terms: 36 + -36 = 0 -23x = 0 + 5x -23x = 5x Solving -23x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -23x + -5x = 5x + -5x Combine like terms: -23x + -5x = -28x -28x = 5x + -5x Combine like terms: 5x + -5x = 0 -28x = 0 Divide each side by '-28'. x = 0 Simplifying x = 0
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