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Simplifying 3(x + -2y) + -0.5(2x + 3y) + -4.5x = 0 (x * 3 + -2y * 3) + -0.5(2x + 3y) + -4.5x = 0 (3x + -6y) + -0.5(2x + 3y) + -4.5x = 0 3x + -6y + (2x * -0.5 + 3y * -0.5) + -4.5x = 0 3x + -6y + (-1x + -1.5y) + -4.5x = 0 Reorder the terms: 3x + -1x + -4.5x + -6y + -1.5y = 0 Combine like terms: 3x + -1x = 2x 2x + -4.5x + -6y + -1.5y = 0 Combine like terms: 2x + -4.5x = -2.5x -2.5x + -6y + -1.5y = 0 Combine like terms: -6y + -1.5y = -7.5y -2.5x + -7.5y = 0 Solving -2.5x + -7.5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5y' to each side of the equation. -2.5x + -7.5y + 7.5y = 0 + 7.5y Combine like terms: -7.5y + 7.5y = 0.0 -2.5x + 0.0 = 0 + 7.5y -2.5x = 0 + 7.5y Remove the zero: -2.5x = 7.5y Divide each side by '-2.5'. x = -3y Simplifying x = -3y
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