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Simplifying 1x + 2(3x + -1) + (4x + 1x) = 10 Reorder the terms: 1x + 2(-1 + 3x) + (4x + 1x) = 10 1x + (-1 * 2 + 3x * 2) + (4x + 1x) = 10 1x + (-2 + 6x) + (4x + 1x) = 10 Combine like terms: 4x + 1x = 5x 1x + -2 + 6x + (5x) = 10 1x + -2 + 6x + (5x) = 10 Reorder the terms: -2 + 1x + 6x + (5x) = 10 Combine like terms: 1x + 6x = 7x -2 + 7x + (5x) = 10 Combine like terms: 7x + (5x) = 12x -2 + 12x = 10 Solving -2 + 12x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 10 + 2 12x = 10 + 2 Combine like terms: 10 + 2 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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