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Simplifying 7((x + 1) + (x + 2)) = 10x + 109 Reorder the terms: 7((1 + x) + (x + 2)) = 10x + 109 Remove parenthesis around (1 + x) 7(1 + x + (x + 2)) = 10x + 109 Reorder the terms: 7(1 + x + (2 + x)) = 10x + 109 Remove parenthesis around (2 + x) 7(1 + x + 2 + x) = 10x + 109 Reorder the terms: 7(1 + 2 + x + x) = 10x + 109 Combine like terms: 1 + 2 = 3 7(3 + x + x) = 10x + 109 Combine like terms: x + x = 2x 7(3 + 2x) = 10x + 109 (3 * 7 + 2x * 7) = 10x + 109 (21 + 14x) = 10x + 109 Reorder the terms: 21 + 14x = 109 + 10x Solving 21 + 14x = 109 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 14x + -10x = 109 + 10x + -10x Combine like terms: 14x + -10x = 4x 21 + 4x = 109 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + 4x = 109 + 0 21 + 4x = 109 Add '-21' to each side of the equation. 21 + -21 + 4x = 109 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 109 + -21 4x = 109 + -21 Combine like terms: 109 + -21 = 88 4x = 88 Divide each side by '4'. x = 22 Simplifying x = 22
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