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Simplifying 10(2x + 4y) = -1(-8 + -9x) + 3x (2x * 10 + 4y * 10) = -1(-8 + -9x) + 3x (20x + 40y) = -1(-8 + -9x) + 3x 20x + 40y = (-8 * -1 + -9x * -1) + 3x 20x + 40y = (8 + 9x) + 3x Combine like terms: 9x + 3x = 12x 20x + 40y = 8 + 12x Solving 20x + 40y = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20x + -12x + 40y = 8 + 12x + -12x Combine like terms: 20x + -12x = 8x 8x + 40y = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 8x + 40y = 8 + 0 8x + 40y = 8 Add '-40y' to each side of the equation. 8x + 40y + -40y = 8 + -40y Combine like terms: 40y + -40y = 0 8x + 0 = 8 + -40y 8x = 8 + -40y Divide each side by '8'. x = 1 + -5y Simplifying x = 1 + -5y
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