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Simplifying 3x + -4y + -2(2x + -7) = 0 Reorder the terms: 3x + -4y + -2(-7 + 2x) = 0 3x + -4y + (-7 * -2 + 2x * -2) = 0 3x + -4y + (14 + -4x) = 0 Reorder the terms: 14 + 3x + -4x + -4y = 0 Combine like terms: 3x + -4x = -1x 14 + -1x + -4y = 0 Solving 14 + -1x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -1x + -14 + -4y = 0 + -14 Reorder the terms: 14 + -14 + -1x + -4y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x + -4y = 0 + -14 -1x + -4y = 0 + -14 Combine like terms: 0 + -14 = -14 -1x + -4y = -14 Add '4y' to each side of the equation. -1x + -4y + 4y = -14 + 4y Combine like terms: -4y + 4y = 0 -1x + 0 = -14 + 4y -1x = -14 + 4y Divide each side by '-1'. x = 14 + -4y Simplifying x = 14 + -4y
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