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Simplifying 5(2x + 2y + 5) + 4(2x + -2y + -6) = 0 Reorder the terms: 5(5 + 2x + 2y) + 4(2x + -2y + -6) = 0 (5 * 5 + 2x * 5 + 2y * 5) + 4(2x + -2y + -6) = 0 (25 + 10x + 10y) + 4(2x + -2y + -6) = 0 Reorder the terms: 25 + 10x + 10y + 4(-6 + 2x + -2y) = 0 25 + 10x + 10y + (-6 * 4 + 2x * 4 + -2y * 4) = 0 25 + 10x + 10y + (-24 + 8x + -8y) = 0 Reorder the terms: 25 + -24 + 10x + 8x + 10y + -8y = 0 Combine like terms: 25 + -24 = 1 1 + 10x + 8x + 10y + -8y = 0 Combine like terms: 10x + 8x = 18x 1 + 18x + 10y + -8y = 0 Combine like terms: 10y + -8y = 2y 1 + 18x + 2y = 0 Solving 1 + 18x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 18x + -1 + 2y = 0 + -1 Reorder the terms: 1 + -1 + 18x + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 18x + 2y = 0 + -1 18x + 2y = 0 + -1 Combine like terms: 0 + -1 = -1 18x + 2y = -1 Add '-2y' to each side of the equation. 18x + 2y + -2y = -1 + -2y Combine like terms: 2y + -2y = 0 18x + 0 = -1 + -2y 18x = -1 + -2y Divide each side by '18'. x = -0.05555555556 + -0.1111111111y Simplifying x = -0.05555555556 + -0.1111111111y
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