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Simplifying 6x + -47 = 5x + -38 Reorder the terms: -47 + 6x = 5x + -38 Reorder the terms: -47 + 6x = -38 + 5x Solving -47 + 6x = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -47 + 6x + -5x = -38 + 5x + -5x Combine like terms: 6x + -5x = 1x -47 + 1x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 1x = -38 + 0 -47 + 1x = -38 Add '47' to each side of the equation. -47 + 47 + 1x = -38 + 47 Combine like terms: -47 + 47 = 0 0 + 1x = -38 + 47 1x = -38 + 47 Combine like terms: -38 + 47 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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