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Simplifying 2(3x + -1x + 2) + -1(4x + 3x + 1) = 0 Reorder the terms: 2(2 + 3x + -1x) + -1(4x + 3x + 1) = 0 Combine like terms: 3x + -1x = 2x 2(2 + 2x) + -1(4x + 3x + 1) = 0 (2 * 2 + 2x * 2) + -1(4x + 3x + 1) = 0 (4 + 4x) + -1(4x + 3x + 1) = 0 Reorder the terms: 4 + 4x + -1(1 + 4x + 3x) = 0 Combine like terms: 4x + 3x = 7x 4 + 4x + -1(1 + 7x) = 0 4 + 4x + (1 * -1 + 7x * -1) = 0 4 + 4x + (-1 + -7x) = 0 Reorder the terms: 4 + -1 + 4x + -7x = 0 Combine like terms: 4 + -1 = 3 3 + 4x + -7x = 0 Combine like terms: 4x + -7x = -3x 3 + -3x = 0 Solving 3 + -3x = 0 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 + -3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 0 + -3 -3x = 0 + -3 Combine like terms: 0 + -3 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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