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Simplifying (8.5x + 2y) + [4.6(y + -0.1x)] = 0 Remove parenthesis around (8.5x + 2y) 8.5x + 2y + [4.6(y + -0.1x)] = 0 Reorder the terms: 8.5x + 2y + [4.6(-0.1x + y)] = 0 8.5x + 2y + [(-0.1x * 4.6 + y * 4.6)] = 0 8.5x + 2y + [(-0.46x + 4.6y)] = 0 8.5x + 2y + [-0.46x + 4.6y] = 0 Remove brackets around [-0.46x + 4.6y] 8.5x + 2y + -0.46x + 4.6y = 0 Reorder the terms: 8.5x + -0.46x + 2y + 4.6y = 0 Combine like terms: 8.5x + -0.46x = 8.04x 8.04x + 2y + 4.6y = 0 Combine like terms: 2y + 4.6y = 6.6y 8.04x + 6.6y = 0 Solving 8.04x + 6.6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.6y' to each side of the equation. 8.04x + 6.6y + -6.6y = 0 + -6.6y Combine like terms: 6.6y + -6.6y = 0.0 8.04x + 0.0 = 0 + -6.6y 8.04x = 0 + -6.6y Remove the zero: 8.04x = -6.6y Divide each side by '8.04'. x = -0.8208955224y Simplifying x = -0.8208955224y
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