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Simplifying 5x + -2 + 3y + -6x + -43 + -10.8 = 7 Reorder the terms: -2 + -43 + -10.8 + 5x + -6x + 3y = 7 Combine like terms: -2 + -43 = -45 -45 + -10.8 + 5x + -6x + 3y = 7 Combine like terms: -45 + -10.8 = -55.8 -55.8 + 5x + -6x + 3y = 7 Combine like terms: 5x + -6x = -1x -55.8 + -1x + 3y = 7 Solving -55.8 + -1x + 3y = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55.8' to each side of the equation. -55.8 + -1x + 55.8 + 3y = 7 + 55.8 Reorder the terms: -55.8 + 55.8 + -1x + 3y = 7 + 55.8 Combine like terms: -55.8 + 55.8 = 0.0 0.0 + -1x + 3y = 7 + 55.8 -1x + 3y = 7 + 55.8 Combine like terms: 7 + 55.8 = 62.8 -1x + 3y = 62.8 Add '-3y' to each side of the equation. -1x + 3y + -3y = 62.8 + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 62.8 + -3y -1x = 62.8 + -3y Divide each side by '-1'. x = -62.8 + 3y Simplifying x = -62.8 + 3y
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