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Simplifying 8x + 14 + -3x = 24 + -2x + 39 Reorder the terms: 14 + 8x + -3x = 24 + -2x + 39 Combine like terms: 8x + -3x = 5x 14 + 5x = 24 + -2x + 39 Reorder the terms: 14 + 5x = 24 + 39 + -2x Combine like terms: 24 + 39 = 63 14 + 5x = 63 + -2x Solving 14 + 5x = 63 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + 5x + 2x = 63 + -2x + 2x Combine like terms: 5x + 2x = 7x 14 + 7x = 63 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 7x = 63 + 0 14 + 7x = 63 Add '-14' to each side of the equation. 14 + -14 + 7x = 63 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 63 + -14 7x = 63 + -14 Combine like terms: 63 + -14 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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