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Simplifying 5x + -2 + 3y + -6x + -43 + -10.8x = 7 Reorder the terms: -2 + -43 + 5x + -6x + -10.8x + 3y = 7 Combine like terms: -2 + -43 = -45 -45 + 5x + -6x + -10.8x + 3y = 7 Combine like terms: 5x + -6x = -1x -45 + -1x + -10.8x + 3y = 7 Combine like terms: -1x + -10.8x = -11.8x -45 + -11.8x + 3y = 7 Solving -45 + -11.8x + 3y = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + -11.8x + 45 + 3y = 7 + 45 Reorder the terms: -45 + 45 + -11.8x + 3y = 7 + 45 Combine like terms: -45 + 45 = 0 0 + -11.8x + 3y = 7 + 45 -11.8x + 3y = 7 + 45 Combine like terms: 7 + 45 = 52 -11.8x + 3y = 52 Add '-3y' to each side of the equation. -11.8x + 3y + -3y = 52 + -3y Combine like terms: 3y + -3y = 0 -11.8x + 0 = 52 + -3y -11.8x = 52 + -3y Divide each side by '-11.8'. x = -4.406779661 + 0.2542372881y Simplifying x = -4.406779661 + 0.2542372881y
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