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Simplifying (2x + 3) = (75 + -2x) Reorder the terms: (3 + 2x) = (75 + -2x) Remove parenthesis around (3 + 2x) 3 + 2x = (75 + -2x) Remove parenthesis around (75 + -2x) 3 + 2x = 75 + -2x Solving 3 + 2x = 75 + -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. 3 + 2x + 2x = 75 + -2x + 2x Combine like terms: 2x + 2x = 4x 3 + 4x = 75 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 4x = 75 + 0 3 + 4x = 75 Add '-3' to each side of the equation. 3 + -3 + 4x = 75 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 75 + -3 4x = 75 + -3 Combine like terms: 75 + -3 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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