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Simplifying 226 = 2(4x + 3) + 2(5x + 2) Reorder the terms: 226 = 2(3 + 4x) + 2(5x + 2) 226 = (3 * 2 + 4x * 2) + 2(5x + 2) 226 = (6 + 8x) + 2(5x + 2) Reorder the terms: 226 = 6 + 8x + 2(2 + 5x) 226 = 6 + 8x + (2 * 2 + 5x * 2) 226 = 6 + 8x + (4 + 10x) Reorder the terms: 226 = 6 + 4 + 8x + 10x Combine like terms: 6 + 4 = 10 226 = 10 + 8x + 10x Combine like terms: 8x + 10x = 18x 226 = 10 + 18x Solving 226 = 10 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 226 + -18x = 10 + 18x + -18x Combine like terms: 18x + -18x = 0 226 + -18x = 10 + 0 226 + -18x = 10 Add '-226' to each side of the equation. 226 + -226 + -18x = 10 + -226 Combine like terms: 226 + -226 = 0 0 + -18x = 10 + -226 -18x = 10 + -226 Combine like terms: 10 + -226 = -216 -18x = -216 Divide each side by '-18'. x = 12 Simplifying x = 12
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