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Simplifying 10 + 4[5x + -3(-4x + 2y)] = 0 10 + 4[5x + (-4x * -3 + 2y * -3)] = 0 10 + 4[5x + (12x + -6y)] = 0 Combine like terms: 5x + 12x = 17x 10 + 4[17x + -6y] = 0 10 + [17x * 4 + -6y * 4] = 0 10 + [68x + -24y] = 0 Solving 10 + 68x + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 68x + -10 + -24y = 0 + -10 Reorder the terms: 10 + -10 + 68x + -24y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 68x + -24y = 0 + -10 68x + -24y = 0 + -10 Combine like terms: 0 + -10 = -10 68x + -24y = -10 Add '24y' to each side of the equation. 68x + -24y + 24y = -10 + 24y Combine like terms: -24y + 24y = 0 68x + 0 = -10 + 24y 68x = -10 + 24y Divide each side by '68'. x = -0.1470588235 + 0.3529411765y Simplifying x = -0.1470588235 + 0.3529411765y
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