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Simplifying 10x + -49 = 6x + 27 Reorder the terms: -49 + 10x = 6x + 27 Reorder the terms: -49 + 10x = 27 + 6x Solving -49 + 10x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -49 + 10x + -6x = 27 + 6x + -6x Combine like terms: 10x + -6x = 4x -49 + 4x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -49 + 4x = 27 + 0 -49 + 4x = 27 Add '49' to each side of the equation. -49 + 49 + 4x = 27 + 49 Combine like terms: -49 + 49 = 0 0 + 4x = 27 + 49 4x = 27 + 49 Combine like terms: 27 + 49 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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