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Simplifying 6x + -24 + -5x = 2x + 10 + 5x Reorder the terms: -24 + 6x + -5x = 2x + 10 + 5x Combine like terms: 6x + -5x = 1x -24 + 1x = 2x + 10 + 5x Reorder the terms: -24 + 1x = 10 + 2x + 5x Combine like terms: 2x + 5x = 7x -24 + 1x = 10 + 7x Solving -24 + 1x = 10 + 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. -24 + 1x + -7x = 10 + 7x + -7x Combine like terms: 1x + -7x = -6x -24 + -6x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -6x = 10 + 0 -24 + -6x = 10 Add '24' to each side of the equation. -24 + 24 + -6x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 10 + 24 -6x = 10 + 24 Combine like terms: 10 + 24 = 34 -6x = 34 Divide each side by '-6'. x = -5.666666667 Simplifying x = -5.666666667
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