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Simplifying -4x + 6y + -1(7 + x) + (x + 7) = 0 -4x + 6y + (7 * -1 + x * -1) + (x + 7) = 0 -4x + 6y + (-7 + -1x) + (x + 7) = 0 Reorder the terms: -4x + 6y + -7 + -1x + (7 + x) = 0 Remove parenthesis around (7 + x) -4x + 6y + -7 + -1x + 7 + x = 0 Reorder the terms: -7 + 7 + -4x + -1x + x + 6y = 0 Combine like terms: -7 + 7 = 0 0 + -4x + -1x + x + 6y = 0 -4x + -1x + x + 6y = 0 Combine like terms: -4x + -1x = -5x -5x + x + 6y = 0 Combine like terms: -5x + x = -4x -4x + 6y = 0 Solving -4x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -4x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -4x + 0 = 0 + -6y -4x = 0 + -6y Remove the zero: -4x = -6y Divide each side by '-4'. x = 1.5y Simplifying x = 1.5y
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