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Simplifying 3(4x + -1) + 2x = 9x + -1 + x + 2 Reorder the terms: 3(-1 + 4x) + 2x = 9x + -1 + x + 2 (-1 * 3 + 4x * 3) + 2x = 9x + -1 + x + 2 (-3 + 12x) + 2x = 9x + -1 + x + 2 Combine like terms: 12x + 2x = 14x -3 + 14x = 9x + -1 + x + 2 Reorder the terms: -3 + 14x = -1 + 2 + 9x + x Combine like terms: -1 + 2 = 1 -3 + 14x = 1 + 9x + x Combine like terms: 9x + x = 10x -3 + 14x = 1 + 10x Solving -3 + 14x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 14x + -10x = 1 + 10x + -10x Combine like terms: 14x + -10x = 4x -3 + 4x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 4x = 1 + 0 -3 + 4x = 1 Add '3' to each side of the equation. -3 + 3 + 4x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 1 + 3 4x = 1 + 3 Combine like terms: 1 + 3 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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