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Simplifying 2.43x + 13.71 = 8.12x + -22.59 Reorder the terms: 13.71 + 2.43x = 8.12x + -22.59 Reorder the terms: 13.71 + 2.43x = -22.59 + 8.12x Solving 13.71 + 2.43x = -22.59 + 8.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.12x' to each side of the equation. 13.71 + 2.43x + -8.12x = -22.59 + 8.12x + -8.12x Combine like terms: 2.43x + -8.12x = -5.69x 13.71 + -5.69x = -22.59 + 8.12x + -8.12x Combine like terms: 8.12x + -8.12x = 0.00 13.71 + -5.69x = -22.59 + 0.00 13.71 + -5.69x = -22.59 Add '-13.71' to each side of the equation. 13.71 + -13.71 + -5.69x = -22.59 + -13.71 Combine like terms: 13.71 + -13.71 = 0.00 0.00 + -5.69x = -22.59 + -13.71 -5.69x = -22.59 + -13.71 Combine like terms: -22.59 + -13.71 = -36.3 -5.69x = -36.3 Divide each side by '-5.69'. x = 6.379613357 Simplifying x = 6.379613357
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