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Simplifying 2x + -1(3 + -4x) + -2(x + 2) = 0 2x + (3 * -1 + -4x * -1) + -2(x + 2) = 0 2x + (-3 + 4x) + -2(x + 2) = 0 Reorder the terms: 2x + -3 + 4x + -2(2 + x) = 0 2x + -3 + 4x + (2 * -2 + x * -2) = 0 2x + -3 + 4x + (-4 + -2x) = 0 Reorder the terms: -3 + -4 + 2x + 4x + -2x = 0 Combine like terms: -3 + -4 = -7 -7 + 2x + 4x + -2x = 0 Combine like terms: 2x + 4x = 6x -7 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x -7 + 4x = 0 Solving -7 + 4x = 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 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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