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Simplifying [14 + -8(x + -5y) + 10(3x + -1y)] = 0 [14 + (x * -8 + -5y * -8) + 10(3x + -1y)] = 0 [14 + (-8x + 40y) + 10(3x + -1y)] = 0 [14 + -8x + 40y + (3x * 10 + -1y * 10)] = 0 [14 + -8x + 40y + (30x + -10y)] = 0 Reorder the terms: [14 + -8x + 30x + 40y + -10y] = 0 Combine like terms: -8x + 30x = 22x [14 + 22x + 40y + -10y] = 0 Combine like terms: 40y + -10y = 30y [14 + 22x + 30y] = 0 Remove brackets around [14 + 22x + 30y] 14 + 22x + 30y = 0 Solving 14 + 22x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 22x + -14 + 30y = 0 + -14 Reorder the terms: 14 + -14 + 22x + 30y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 22x + 30y = 0 + -14 22x + 30y = 0 + -14 Combine like terms: 0 + -14 = -14 22x + 30y = -14 Add '-30y' to each side of the equation. 22x + 30y + -30y = -14 + -30y Combine like terms: 30y + -30y = 0 22x + 0 = -14 + -30y 22x = -14 + -30y Divide each side by '22'. x = -0.6363636364 + -1.363636364y Simplifying x = -0.6363636364 + -1.363636364y
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