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Simplifying 3(4x + -2) + 2(x + 3) = 5x + 9 Reorder the terms: 3(-2 + 4x) + 2(x + 3) = 5x + 9 (-2 * 3 + 4x * 3) + 2(x + 3) = 5x + 9 (-6 + 12x) + 2(x + 3) = 5x + 9 Reorder the terms: -6 + 12x + 2(3 + x) = 5x + 9 -6 + 12x + (3 * 2 + x * 2) = 5x + 9 -6 + 12x + (6 + 2x) = 5x + 9 Reorder the terms: -6 + 6 + 12x + 2x = 5x + 9 Combine like terms: -6 + 6 = 0 0 + 12x + 2x = 5x + 9 12x + 2x = 5x + 9 Combine like terms: 12x + 2x = 14x 14x = 5x + 9 Reorder the terms: 14x = 9 + 5x Solving 14x = 9 + 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. 14x + -5x = 9 + 5x + -5x Combine like terms: 14x + -5x = 9x 9x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 9x = 9 + 0 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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