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Simplifying 2(7x + -4y + 2) + -3(2x + 2y + -2) = 0 Reorder the terms: 2(2 + 7x + -4y) + -3(2x + 2y + -2) = 0 (2 * 2 + 7x * 2 + -4y * 2) + -3(2x + 2y + -2) = 0 (4 + 14x + -8y) + -3(2x + 2y + -2) = 0 Reorder the terms: 4 + 14x + -8y + -3(-2 + 2x + 2y) = 0 4 + 14x + -8y + (-2 * -3 + 2x * -3 + 2y * -3) = 0 4 + 14x + -8y + (6 + -6x + -6y) = 0 Reorder the terms: 4 + 6 + 14x + -6x + -8y + -6y = 0 Combine like terms: 4 + 6 = 10 10 + 14x + -6x + -8y + -6y = 0 Combine like terms: 14x + -6x = 8x 10 + 8x + -8y + -6y = 0 Combine like terms: -8y + -6y = -14y 10 + 8x + -14y = 0 Solving 10 + 8x + -14y = 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 + 8x + -10 + -14y = 0 + -10 Reorder the terms: 10 + -10 + 8x + -14y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 8x + -14y = 0 + -10 8x + -14y = 0 + -10 Combine like terms: 0 + -10 = -10 8x + -14y = -10 Add '14y' to each side of the equation. 8x + -14y + 14y = -10 + 14y Combine like terms: -14y + 14y = 0 8x + 0 = -10 + 14y 8x = -10 + 14y Divide each side by '8'. x = -1.25 + 1.75y Simplifying x = -1.25 + 1.75y
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