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Simplifying 3x + 4(2 + -1y) = 2x 3x + (2 * 4 + -1y * 4) = 2x 3x + (8 + -4y) = 2x Reorder the terms: 8 + 3x + -4y = 2x Solving 8 + 3x + -4y = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 3x + -2x + -4y = 2x + -2x Combine like terms: 3x + -2x = 1x 8 + 1x + -4y = 2x + -2x Combine like terms: 2x + -2x = 0 8 + 1x + -4y = 0 Add '-8' to each side of the equation. 8 + 1x + -8 + -4y = 0 + -8 Reorder the terms: 8 + -8 + 1x + -4y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1x + -4y = 0 + -8 1x + -4y = 0 + -8 Combine like terms: 0 + -8 = -8 1x + -4y = -8 Add '4y' to each side of the equation. 1x + -4y + 4y = -8 + 4y Combine like terms: -4y + 4y = 0 1x + 0 = -8 + 4y 1x = -8 + 4y Divide each side by '1'. x = -8 + 4y Simplifying x = -8 + 4y
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