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Simplifying 2x + 3(x + -2) + -7(y + -2) = 0 Reorder the terms: 2x + 3(-2 + x) + -7(y + -2) = 0 2x + (-2 * 3 + x * 3) + -7(y + -2) = 0 2x + (-6 + 3x) + -7(y + -2) = 0 Reorder the terms: 2x + -6 + 3x + -7(-2 + y) = 0 2x + -6 + 3x + (-2 * -7 + y * -7) = 0 2x + -6 + 3x + (14 + -7y) = 0 Reorder the terms: -6 + 14 + 2x + 3x + -7y = 0 Combine like terms: -6 + 14 = 8 8 + 2x + 3x + -7y = 0 Combine like terms: 2x + 3x = 5x 8 + 5x + -7y = 0 Solving 8 + 5x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5x + -8 + -7y = 0 + -8 Reorder the terms: 8 + -8 + 5x + -7y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x + -7y = 0 + -8 5x + -7y = 0 + -8 Combine like terms: 0 + -8 = -8 5x + -7y = -8 Add '7y' to each side of the equation. 5x + -7y + 7y = -8 + 7y Combine like terms: -7y + 7y = 0 5x + 0 = -8 + 7y 5x = -8 + 7y Divide each side by '5'. x = -1.6 + 1.4y Simplifying x = -1.6 + 1.4y
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