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Simplifying 6x + 2(x + -1y) + 3(100 + -1x) = 0 6x + (x * 2 + -1y * 2) + 3(100 + -1x) = 0 6x + (2x + -2y) + 3(100 + -1x) = 0 6x + 2x + -2y + (100 * 3 + -1x * 3) = 0 6x + 2x + -2y + (300 + -3x) = 0 Reorder the terms: 300 + 6x + 2x + -3x + -2y = 0 Combine like terms: 6x + 2x = 8x 300 + 8x + -3x + -2y = 0 Combine like terms: 8x + -3x = 5x 300 + 5x + -2y = 0 Solving 300 + 5x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + 5x + -300 + -2y = 0 + -300 Reorder the terms: 300 + -300 + 5x + -2y = 0 + -300 Combine like terms: 300 + -300 = 0 0 + 5x + -2y = 0 + -300 5x + -2y = 0 + -300 Combine like terms: 0 + -300 = -300 5x + -2y = -300 Add '2y' to each side of the equation. 5x + -2y + 2y = -300 + 2y Combine like terms: -2y + 2y = 0 5x + 0 = -300 + 2y 5x = -300 + 2y Divide each side by '5'. x = -60 + 0.4y Simplifying x = -60 + 0.4y
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