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Simplifying 2(x + y) = -5(3x + y) + -6 (x * 2 + y * 2) = -5(3x + y) + -6 (2x + 2y) = -5(3x + y) + -6 2x + 2y = (3x * -5 + y * -5) + -6 2x + 2y = (-15x + -5y) + -6 Reorder the terms: 2x + 2y = -6 + -15x + -5y Solving 2x + 2y = -6 + -15x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 2x + 15x + 2y = -6 + -15x + 15x + -5y Combine like terms: 2x + 15x = 17x 17x + 2y = -6 + -15x + 15x + -5y Combine like terms: -15x + 15x = 0 17x + 2y = -6 + 0 + -5y 17x + 2y = -6 + -5y Add '-2y' to each side of the equation. 17x + 2y + -2y = -6 + -5y + -2y Combine like terms: 2y + -2y = 0 17x + 0 = -6 + -5y + -2y 17x = -6 + -5y + -2y Combine like terms: -5y + -2y = -7y 17x = -6 + -7y Divide each side by '17'. x = -0.3529411765 + -0.4117647059y Simplifying x = -0.3529411765 + -0.4117647059y
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