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Simplifying (2x + 24) + (3x + -12) = (2x + 93) Reorder the terms: (24 + 2x) + (3x + -12) = (2x + 93) Remove parenthesis around (24 + 2x) 24 + 2x + (3x + -12) = (2x + 93) Reorder the terms: 24 + 2x + (-12 + 3x) = (2x + 93) Remove parenthesis around (-12 + 3x) 24 + 2x + -12 + 3x = (2x + 93) Reorder the terms: 24 + -12 + 2x + 3x = (2x + 93) Combine like terms: 24 + -12 = 12 12 + 2x + 3x = (2x + 93) Combine like terms: 2x + 3x = 5x 12 + 5x = (2x + 93) Reorder the terms: 12 + 5x = (93 + 2x) Remove parenthesis around (93 + 2x) 12 + 5x = 93 + 2x Solving 12 + 5x = 93 + 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. 12 + 5x + -2x = 93 + 2x + -2x Combine like terms: 5x + -2x = 3x 12 + 3x = 93 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 3x = 93 + 0 12 + 3x = 93 Add '-12' to each side of the equation. 12 + -12 + 3x = 93 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 93 + -12 3x = 93 + -12 Combine like terms: 93 + -12 = 81 3x = 81 Divide each side by '3'. x = 27 Simplifying x = 27
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