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Simplifying 3x + -7y + 4(y + -3) + -5(x + 3) = 0 Reorder the terms: 3x + -7y + 4(-3 + y) + -5(x + 3) = 0 3x + -7y + (-3 * 4 + y * 4) + -5(x + 3) = 0 3x + -7y + (-12 + 4y) + -5(x + 3) = 0 Reorder the terms: 3x + -7y + -12 + 4y + -5(3 + x) = 0 3x + -7y + -12 + 4y + (3 * -5 + x * -5) = 0 3x + -7y + -12 + 4y + (-15 + -5x) = 0 Reorder the terms: -12 + -15 + 3x + -5x + -7y + 4y = 0 Combine like terms: -12 + -15 = -27 -27 + 3x + -5x + -7y + 4y = 0 Combine like terms: 3x + -5x = -2x -27 + -2x + -7y + 4y = 0 Combine like terms: -7y + 4y = -3y -27 + -2x + -3y = 0 Solving -27 + -2x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + -2x + 27 + -3y = 0 + 27 Reorder the terms: -27 + 27 + -2x + -3y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -2x + -3y = 0 + 27 -2x + -3y = 0 + 27 Combine like terms: 0 + 27 = 27 -2x + -3y = 27 Add '3y' to each side of the equation. -2x + -3y + 3y = 27 + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = 27 + 3y -2x = 27 + 3y Divide each side by '-2'. x = -13.5 + -1.5y Simplifying x = -13.5 + -1.5y
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