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Simplifying 3(3x + 10) = 5k + 30 + 4x Reorder the terms: 3(10 + 3x) = 5k + 30 + 4x (10 * 3 + 3x * 3) = 5k + 30 + 4x (30 + 9x) = 5k + 30 + 4x Reorder the terms: 30 + 9x = 30 + 5k + 4x Add '-30' to each side of the equation. 30 + -30 + 9x = 30 + 5k + -30 + 4x Combine like terms: 30 + -30 = 0 0 + 9x = 30 + 5k + -30 + 4x 9x = 30 + 5k + -30 + 4x Reorder the terms: 9x = 30 + -30 + 5k + 4x Combine like terms: 30 + -30 = 0 9x = 0 + 5k + 4x 9x = 5k + 4x Solving 9x = 5k + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9x + -4x = 5k + 4x + -4x Combine like terms: 9x + -4x = 5x 5x = 5k + 4x + -4x Combine like terms: 4x + -4x = 0 5x = 5k + 0 5x = 5k Divide each side by '5'. x = k Simplifying x = k
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