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Simplifying 6x + -105 = x + 40 Reorder the terms: -105 + 6x = x + 40 Reorder the terms: -105 + 6x = 40 + x Solving -105 + 6x = 40 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -105 + 6x + -1x = 40 + x + -1x Combine like terms: 6x + -1x = 5x -105 + 5x = 40 + x + -1x Combine like terms: x + -1x = 0 -105 + 5x = 40 + 0 -105 + 5x = 40 Add '105' to each side of the equation. -105 + 105 + 5x = 40 + 105 Combine like terms: -105 + 105 = 0 0 + 5x = 40 + 105 5x = 40 + 105 Combine like terms: 40 + 105 = 145 5x = 145 Divide each side by '5'. x = 29 Simplifying x = 29
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