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Simplifying 7(x + 2) + 2x + 3 = 2(x + 26) Reorder the terms: 7(2 + x) + 2x + 3 = 2(x + 26) (2 * 7 + x * 7) + 2x + 3 = 2(x + 26) (14 + 7x) + 2x + 3 = 2(x + 26) Reorder the terms: 14 + 3 + 7x + 2x = 2(x + 26) Combine like terms: 14 + 3 = 17 17 + 7x + 2x = 2(x + 26) Combine like terms: 7x + 2x = 9x 17 + 9x = 2(x + 26) Reorder the terms: 17 + 9x = 2(26 + x) 17 + 9x = (26 * 2 + x * 2) 17 + 9x = (52 + 2x) Solving 17 + 9x = 52 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + 9x + -2x = 52 + 2x + -2x Combine like terms: 9x + -2x = 7x 17 + 7x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 7x = 52 + 0 17 + 7x = 52 Add '-17' to each side of the equation. 17 + -17 + 7x = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 52 + -17 7x = 52 + -17 Combine like terms: 52 + -17 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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