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Simplifying -3x + 12 = 2x + 1 Reorder the terms: 12 + -3x = 2x + 1 Reorder the terms: 12 + -3x = 1 + 2x Solving 12 + -3x = 1 + 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 + -3x + -2x = 1 + 2x + -2x Combine like terms: -3x + -2x = -5x 12 + -5x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -5x = 1 + 0 12 + -5x = 1 Add '-12' to each side of the equation. 12 + -12 + -5x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 1 + -12 -5x = 1 + -12 Combine like terms: 1 + -12 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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