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Simplifying (3x + 2y + -7) + -1(5x + -4y + 6) = 0 Reorder the terms: (-7 + 3x + 2y) + -1(5x + -4y + 6) = 0 Remove parenthesis around (-7 + 3x + 2y) -7 + 3x + 2y + -1(5x + -4y + 6) = 0 Reorder the terms: -7 + 3x + 2y + -1(6 + 5x + -4y) = 0 -7 + 3x + 2y + (6 * -1 + 5x * -1 + -4y * -1) = 0 -7 + 3x + 2y + (-6 + -5x + 4y) = 0 Reorder the terms: -7 + -6 + 3x + -5x + 2y + 4y = 0 Combine like terms: -7 + -6 = -13 -13 + 3x + -5x + 2y + 4y = 0 Combine like terms: 3x + -5x = -2x -13 + -2x + 2y + 4y = 0 Combine like terms: 2y + 4y = 6y -13 + -2x + 6y = 0 Solving -13 + -2x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + -2x + 13 + 6y = 0 + 13 Reorder the terms: -13 + 13 + -2x + 6y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x + 6y = 0 + 13 -2x + 6y = 0 + 13 Combine like terms: 0 + 13 = 13 -2x + 6y = 13 Add '-6y' to each side of the equation. -2x + 6y + -6y = 13 + -6y Combine like terms: 6y + -6y = 0 -2x + 0 = 13 + -6y -2x = 13 + -6y Divide each side by '-2'. x = -6.5 + 3y Simplifying x = -6.5 + 3y
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