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Simplifying 3x + -1(4x + -2y + 3) + (2x + -4y + 5) = 0 Reorder the terms: 3x + -1(3 + 4x + -2y) + (2x + -4y + 5) = 0 3x + (3 * -1 + 4x * -1 + -2y * -1) + (2x + -4y + 5) = 0 3x + (-3 + -4x + 2y) + (2x + -4y + 5) = 0 Reorder the terms: 3x + -3 + -4x + 2y + (5 + 2x + -4y) = 0 Remove parenthesis around (5 + 2x + -4y) 3x + -3 + -4x + 2y + 5 + 2x + -4y = 0 Reorder the terms: -3 + 5 + 3x + -4x + 2x + 2y + -4y = 0 Combine like terms: -3 + 5 = 2 2 + 3x + -4x + 2x + 2y + -4y = 0 Combine like terms: 3x + -4x = -1x 2 + -1x + 2x + 2y + -4y = 0 Combine like terms: -1x + 2x = 1x 2 + 1x + 2y + -4y = 0 Combine like terms: 2y + -4y = -2y 2 + 1x + -2y = 0 Solving 2 + 1x + -2y = 0 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 + 1x + -2 + -2y = 0 + -2 Reorder the terms: 2 + -2 + 1x + -2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1x + -2y = 0 + -2 1x + -2y = 0 + -2 Combine like terms: 0 + -2 = -2 1x + -2y = -2 Add '2y' to each side of the equation. 1x + -2y + 2y = -2 + 2y Combine like terms: -2y + 2y = 0 1x + 0 = -2 + 2y 1x = -2 + 2y Divide each side by '1'. x = -2 + 2y Simplifying x = -2 + 2y
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