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