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Simplifying 5 + 15x + -32 = 12 + 2x Reorder the terms: 5 + -32 + 15x = 12 + 2x Combine like terms: 5 + -32 = -27 -27 + 15x = 12 + 2x Solving -27 + 15x = 12 + 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. -27 + 15x + -2x = 12 + 2x + -2x Combine like terms: 15x + -2x = 13x -27 + 13x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 13x = 12 + 0 -27 + 13x = 12 Add '27' to each side of the equation. -27 + 27 + 13x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 13x = 12 + 27 13x = 12 + 27 Combine like terms: 12 + 27 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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