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Simplifying 3(4x + -1) + 2x = 5x + 9 Reorder the terms: 3(-1 + 4x) + 2x = 5x + 9 (-1 * 3 + 4x * 3) + 2x = 5x + 9 (-3 + 12x) + 2x = 5x + 9 Combine like terms: 12x + 2x = 14x -3 + 14x = 5x + 9 Reorder the terms: -3 + 14x = 9 + 5x Solving -3 + 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. -3 + 14x + -5x = 9 + 5x + -5x Combine like terms: 14x + -5x = 9x -3 + 9x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 9x = 9 + 0 -3 + 9x = 9 Add '3' to each side of the equation. -3 + 3 + 9x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 9 + 3 9x = 9 + 3 Combine like terms: 9 + 3 = 12 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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