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Simplifying 1(2x + -5) + 4x + 2(3x + 1) = 9 Reorder the terms: 1(-5 + 2x) + 4x + 2(3x + 1) = 9 (-5 * 1 + 2x * 1) + 4x + 2(3x + 1) = 9 (-5 + 2x) + 4x + 2(3x + 1) = 9 Reorder the terms: -5 + 2x + 4x + 2(1 + 3x) = 9 -5 + 2x + 4x + (1 * 2 + 3x * 2) = 9 -5 + 2x + 4x + (2 + 6x) = 9 Reorder the terms: -5 + 2 + 2x + 4x + 6x = 9 Combine like terms: -5 + 2 = -3 -3 + 2x + 4x + 6x = 9 Combine like terms: 2x + 4x = 6x -3 + 6x + 6x = 9 Combine like terms: 6x + 6x = 12x -3 + 12x = 9 Solving -3 + 12x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 9 + 3 12x = 9 + 3 Combine like terms: 9 + 3 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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