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Simplifying 75x + -15 + -6x + -12 = 40x + 55 Reorder the terms: -15 + -12 + 75x + -6x = 40x + 55 Combine like terms: -15 + -12 = -27 -27 + 75x + -6x = 40x + 55 Combine like terms: 75x + -6x = 69x -27 + 69x = 40x + 55 Reorder the terms: -27 + 69x = 55 + 40x Solving -27 + 69x = 55 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -27 + 69x + -40x = 55 + 40x + -40x Combine like terms: 69x + -40x = 29x -27 + 29x = 55 + 40x + -40x Combine like terms: 40x + -40x = 0 -27 + 29x = 55 + 0 -27 + 29x = 55 Add '27' to each side of the equation. -27 + 27 + 29x = 55 + 27 Combine like terms: -27 + 27 = 0 0 + 29x = 55 + 27 29x = 55 + 27 Combine like terms: 55 + 27 = 82 29x = 82 Divide each side by '29'. x = 2.827586207 Simplifying x = 2.827586207
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