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Simplifying 3(x + -2) + -2(5x + -7y + 1) = 0 Reorder the terms: 3(-2 + x) + -2(5x + -7y + 1) = 0 (-2 * 3 + x * 3) + -2(5x + -7y + 1) = 0 (-6 + 3x) + -2(5x + -7y + 1) = 0 Reorder the terms: -6 + 3x + -2(1 + 5x + -7y) = 0 -6 + 3x + (1 * -2 + 5x * -2 + -7y * -2) = 0 -6 + 3x + (-2 + -10x + 14y) = 0 Reorder the terms: -6 + -2 + 3x + -10x + 14y = 0 Combine like terms: -6 + -2 = -8 -8 + 3x + -10x + 14y = 0 Combine like terms: 3x + -10x = -7x -8 + -7x + 14y = 0 Solving -8 + -7x + 14y = 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 + -7x + 8 + 14y = 0 + 8 Reorder the terms: -8 + 8 + -7x + 14y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x + 14y = 0 + 8 -7x + 14y = 0 + 8 Combine like terms: 0 + 8 = 8 -7x + 14y = 8 Add '-14y' to each side of the equation. -7x + 14y + -14y = 8 + -14y Combine like terms: 14y + -14y = 0 -7x + 0 = 8 + -14y -7x = 8 + -14y Divide each side by '-7'. x = -1.142857143 + 2y Simplifying x = -1.142857143 + 2y
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