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Simplifying 7x + 24 + 2x + -10 = 3x + 13 Reorder the terms: 24 + -10 + 7x + 2x = 3x + 13 Combine like terms: 24 + -10 = 14 14 + 7x + 2x = 3x + 13 Combine like terms: 7x + 2x = 9x 14 + 9x = 3x + 13 Reorder the terms: 14 + 9x = 13 + 3x Solving 14 + 9x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 9x + -3x = 13 + 3x + -3x Combine like terms: 9x + -3x = 6x 14 + 6x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 6x = 13 + 0 14 + 6x = 13 Add '-14' to each side of the equation. 14 + -14 + 6x = 13 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 13 + -14 6x = 13 + -14 Combine like terms: 13 + -14 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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