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Simplifying 13x + (x + 3) + (x + 2) + (x + 7) = 40 Reorder the terms: 13x + (3 + x) + (x + 2) + (x + 7) = 40 Remove parenthesis around (3 + x) 13x + 3 + x + (x + 2) + (x + 7) = 40 Reorder the terms: 13x + 3 + x + (2 + x) + (x + 7) = 40 Remove parenthesis around (2 + x) 13x + 3 + x + 2 + x + (x + 7) = 40 Reorder the terms: 13x + 3 + x + 2 + x + (7 + x) = 40 Remove parenthesis around (7 + x) 13x + 3 + x + 2 + x + 7 + x = 40 Reorder the terms: 3 + 2 + 7 + 13x + x + x + x = 40 Combine like terms: 3 + 2 = 5 5 + 7 + 13x + x + x + x = 40 Combine like terms: 5 + 7 = 12 12 + 13x + x + x + x = 40 Combine like terms: 13x + x = 14x 12 + 14x + x + x = 40 Combine like terms: 14x + x = 15x 12 + 15x + x = 40 Combine like terms: 15x + x = 16x 12 + 16x = 40 Solving 12 + 16x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 16x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = 40 + -12 16x = 40 + -12 Combine like terms: 40 + -12 = 28 16x = 28 Divide each side by '16'. x = 1.75 Simplifying x = 1.75
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