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Simplifying 2x + -1(2 + -1x) + 3x + -1(4x + 5) = 0 2x + (2 * -1 + -1x * -1) + 3x + -1(4x + 5) = 0 2x + (-2 + 1x) + 3x + -1(4x + 5) = 0 Reorder the terms: 2x + -2 + 1x + 3x + -1(5 + 4x) = 0 2x + -2 + 1x + 3x + (5 * -1 + 4x * -1) = 0 2x + -2 + 1x + 3x + (-5 + -4x) = 0 Reorder the terms: -2 + -5 + 2x + 1x + 3x + -4x = 0 Combine like terms: -2 + -5 = -7 -7 + 2x + 1x + 3x + -4x = 0 Combine like terms: 2x + 1x = 3x -7 + 3x + 3x + -4x = 0 Combine like terms: 3x + 3x = 6x -7 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -7 + 2x = 0 Solving -7 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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