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Simplifying 14 + 3 + 5x + 96 = 7x + 2 + 1x + 42 Reorder the terms: 14 + 3 + 96 + 5x = 7x + 2 + 1x + 42 Combine like terms: 14 + 3 = 17 17 + 96 + 5x = 7x + 2 + 1x + 42 Combine like terms: 17 + 96 = 113 113 + 5x = 7x + 2 + 1x + 42 Reorder the terms: 113 + 5x = 2 + 42 + 7x + 1x Combine like terms: 2 + 42 = 44 113 + 5x = 44 + 7x + 1x Combine like terms: 7x + 1x = 8x 113 + 5x = 44 + 8x Solving 113 + 5x = 44 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 113 + 5x + -8x = 44 + 8x + -8x Combine like terms: 5x + -8x = -3x 113 + -3x = 44 + 8x + -8x Combine like terms: 8x + -8x = 0 113 + -3x = 44 + 0 113 + -3x = 44 Add '-113' to each side of the equation. 113 + -113 + -3x = 44 + -113 Combine like terms: 113 + -113 = 0 0 + -3x = 44 + -113 -3x = 44 + -113 Combine like terms: 44 + -113 = -69 -3x = -69 Divide each side by '-3'. x = 23 Simplifying x = 23
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