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Simplifying 9x + 18 = 5(x + 7) + 15 Reorder the terms: 18 + 9x = 5(x + 7) + 15 Reorder the terms: 18 + 9x = 5(7 + x) + 15 18 + 9x = (7 * 5 + x * 5) + 15 18 + 9x = (35 + 5x) + 15 Reorder the terms: 18 + 9x = 35 + 15 + 5x Combine like terms: 35 + 15 = 50 18 + 9x = 50 + 5x Solving 18 + 9x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 9x + -5x = 50 + 5x + -5x Combine like terms: 9x + -5x = 4x 18 + 4x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 4x = 50 + 0 18 + 4x = 50 Add '-18' to each side of the equation. 18 + -18 + 4x = 50 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 50 + -18 4x = 50 + -18 Combine like terms: 50 + -18 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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