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Simplifying (3x + 2) + (x + 12) = 5x + -3 Reorder the terms: (2 + 3x) + (x + 12) = 5x + -3 Remove parenthesis around (2 + 3x) 2 + 3x + (x + 12) = 5x + -3 Reorder the terms: 2 + 3x + (12 + x) = 5x + -3 Remove parenthesis around (12 + x) 2 + 3x + 12 + x = 5x + -3 Reorder the terms: 2 + 12 + 3x + x = 5x + -3 Combine like terms: 2 + 12 = 14 14 + 3x + x = 5x + -3 Combine like terms: 3x + x = 4x 14 + 4x = 5x + -3 Reorder the terms: 14 + 4x = -3 + 5x Solving 14 + 4x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 4x + -5x = -3 + 5x + -5x Combine like terms: 4x + -5x = -1x 14 + -1x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -1x = -3 + 0 14 + -1x = -3 Add '-14' to each side of the equation. 14 + -14 + -1x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -3 + -14 -1x = -3 + -14 Combine like terms: -3 + -14 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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