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Simplifying 3(3x + -2) = 4(3 + x) Reorder the terms: 3(-2 + 3x) = 4(3 + x) (-2 * 3 + 3x * 3) = 4(3 + x) (-6 + 9x) = 4(3 + x) -6 + 9x = (3 * 4 + x * 4) -6 + 9x = (12 + 4x) Solving -6 + 9x = 12 + 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. -6 + 9x + -4x = 12 + 4x + -4x Combine like terms: 9x + -4x = 5x -6 + 5x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 5x = 12 + 0 -6 + 5x = 12 Add '6' to each side of the equation. -6 + 6 + 5x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 12 + 6 5x = 12 + 6 Combine like terms: 12 + 6 = 18 5x = 18 Divide each side by '5'. x = 3.6 Simplifying x = 3.6
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