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Simplifying 2(-4x + -7y) + -3(2 + 3y) = 0 (-4x * 2 + -7y * 2) + -3(2 + 3y) = 0 (-8x + -14y) + -3(2 + 3y) = 0 -8x + -14y + (2 * -3 + 3y * -3) = 0 -8x + -14y + (-6 + -9y) = 0 Reorder the terms: -6 + -8x + -14y + -9y = 0 Combine like terms: -14y + -9y = -23y -6 + -8x + -23y = 0 Solving -6 + -8x + -23y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -8x + 6 + -23y = 0 + 6 Reorder the terms: -6 + 6 + -8x + -23y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -8x + -23y = 0 + 6 -8x + -23y = 0 + 6 Combine like terms: 0 + 6 = 6 -8x + -23y = 6 Add '23y' to each side of the equation. -8x + -23y + 23y = 6 + 23y Combine like terms: -23y + 23y = 0 -8x + 0 = 6 + 23y -8x = 6 + 23y Divide each side by '-8'. x = -0.75 + -2.875y Simplifying x = -0.75 + -2.875y
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