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Simplifying (x + 7) + (x + -3) + (2x + 11) = 45 Reorder the terms: (7 + x) + (x + -3) + (2x + 11) = 45 Remove parenthesis around (7 + x) 7 + x + (x + -3) + (2x + 11) = 45 Reorder the terms: 7 + x + (-3 + x) + (2x + 11) = 45 Remove parenthesis around (-3 + x) 7 + x + -3 + x + (2x + 11) = 45 Reorder the terms: 7 + x + -3 + x + (11 + 2x) = 45 Remove parenthesis around (11 + 2x) 7 + x + -3 + x + 11 + 2x = 45 Reorder the terms: 7 + -3 + 11 + x + x + 2x = 45 Combine like terms: 7 + -3 = 4 4 + 11 + x + x + 2x = 45 Combine like terms: 4 + 11 = 15 15 + x + x + 2x = 45 Combine like terms: x + x = 2x 15 + 2x + 2x = 45 Combine like terms: 2x + 2x = 4x 15 + 4x = 45 Solving 15 + 4x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 45 + -15 4x = 45 + -15 Combine like terms: 45 + -15 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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