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Simplifying 7x + -24 = 6x + -2 + 19 Reorder the terms: -24 + 7x = 6x + -2 + 19 Reorder the terms: -24 + 7x = -2 + 19 + 6x Combine like terms: -2 + 19 = 17 -24 + 7x = 17 + 6x Solving -24 + 7x = 17 + 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. -24 + 7x + -6x = 17 + 6x + -6x Combine like terms: 7x + -6x = 1x -24 + 1x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 1x = 17 + 0 -24 + 1x = 17 Add '24' to each side of the equation. -24 + 24 + 1x = 17 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 17 + 24 1x = 17 + 24 Combine like terms: 17 + 24 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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