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Simplifying 2(x + 4) + 8(2x + 1) + 2 = 9x + 26 + -4 Reorder the terms: 2(4 + x) + 8(2x + 1) + 2 = 9x + 26 + -4 (4 * 2 + x * 2) + 8(2x + 1) + 2 = 9x + 26 + -4 (8 + 2x) + 8(2x + 1) + 2 = 9x + 26 + -4 Reorder the terms: 8 + 2x + 8(1 + 2x) + 2 = 9x + 26 + -4 8 + 2x + (1 * 8 + 2x * 8) + 2 = 9x + 26 + -4 8 + 2x + (8 + 16x) + 2 = 9x + 26 + -4 Reorder the terms: 8 + 8 + 2 + 2x + 16x = 9x + 26 + -4 Combine like terms: 8 + 8 = 16 16 + 2 + 2x + 16x = 9x + 26 + -4 Combine like terms: 16 + 2 = 18 18 + 2x + 16x = 9x + 26 + -4 Combine like terms: 2x + 16x = 18x 18 + 18x = 9x + 26 + -4 Reorder the terms: 18 + 18x = 26 + -4 + 9x Combine like terms: 26 + -4 = 22 18 + 18x = 22 + 9x Solving 18 + 18x = 22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + 18x + -9x = 22 + 9x + -9x Combine like terms: 18x + -9x = 9x 18 + 9x = 22 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + 9x = 22 + 0 18 + 9x = 22 Add '-18' to each side of the equation. 18 + -18 + 9x = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 22 + -18 9x = 22 + -18 Combine like terms: 22 + -18 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444
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