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Simplifying 5x + 7 + 2x + 16 = 8x + 18 Reorder the terms: 7 + 16 + 5x + 2x = 8x + 18 Combine like terms: 7 + 16 = 23 23 + 5x + 2x = 8x + 18 Combine like terms: 5x + 2x = 7x 23 + 7x = 8x + 18 Reorder the terms: 23 + 7x = 18 + 8x Solving 23 + 7x = 18 + 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. 23 + 7x + -8x = 18 + 8x + -8x Combine like terms: 7x + -8x = -1x 23 + -1x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + -1x = 18 + 0 23 + -1x = 18 Add '-23' to each side of the equation. 23 + -23 + -1x = 18 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 18 + -23 -1x = 18 + -23 Combine like terms: 18 + -23 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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