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Simplifying 3(2 + -3x) + 4 = 5(x + 2) (2 * 3 + -3x * 3) + 4 = 5(x + 2) (6 + -9x) + 4 = 5(x + 2) Reorder the terms: 6 + 4 + -9x = 5(x + 2) Combine like terms: 6 + 4 = 10 10 + -9x = 5(x + 2) Reorder the terms: 10 + -9x = 5(2 + x) 10 + -9x = (2 * 5 + x * 5) 10 + -9x = (10 + 5x) Add '-10' to each side of the equation. 10 + -10 + -9x = 10 + -10 + 5x Combine like terms: 10 + -10 = 0 0 + -9x = 10 + -10 + 5x -9x = 10 + -10 + 5x Combine like terms: 10 + -10 = 0 -9x = 0 + 5x -9x = 5x Solving -9x = 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. -9x + -5x = 5x + -5x Combine like terms: -9x + -5x = -14x -14x = 5x + -5x Combine like terms: 5x + -5x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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