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Simplifying 9(x + 2) + x = 4(x + 4) + 7 Reorder the terms: 9(2 + x) + x = 4(x + 4) + 7 (2 * 9 + x * 9) + x = 4(x + 4) + 7 (18 + 9x) + x = 4(x + 4) + 7 Combine like terms: 9x + x = 10x 18 + 10x = 4(x + 4) + 7 Reorder the terms: 18 + 10x = 4(4 + x) + 7 18 + 10x = (4 * 4 + x * 4) + 7 18 + 10x = (16 + 4x) + 7 Reorder the terms: 18 + 10x = 16 + 7 + 4x Combine like terms: 16 + 7 = 23 18 + 10x = 23 + 4x Solving 18 + 10x = 23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 10x + -4x = 23 + 4x + -4x Combine like terms: 10x + -4x = 6x 18 + 6x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 6x = 23 + 0 18 + 6x = 23 Add '-18' to each side of the equation. 18 + -18 + 6x = 23 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 23 + -18 6x = 23 + -18 Combine like terms: 23 + -18 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333
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