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Simplifying 6x + -43 = 7x + -81 Reorder the terms: -43 + 6x = 7x + -81 Reorder the terms: -43 + 6x = -81 + 7x Solving -43 + 6x = -81 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -43 + 6x + -7x = -81 + 7x + -7x Combine like terms: 6x + -7x = -1x -43 + -1x = -81 + 7x + -7x Combine like terms: 7x + -7x = 0 -43 + -1x = -81 + 0 -43 + -1x = -81 Add '43' to each side of the equation. -43 + 43 + -1x = -81 + 43 Combine like terms: -43 + 43 = 0 0 + -1x = -81 + 43 -1x = -81 + 43 Combine like terms: -81 + 43 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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