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Simplifying 4x + 1 + -12 = 2x + 1 Reorder the terms: 1 + -12 + 4x = 2x + 1 Combine like terms: 1 + -12 = -11 -11 + 4x = 2x + 1 Reorder the terms: -11 + 4x = 1 + 2x Solving -11 + 4x = 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. -11 + 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x -11 + 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 2x = 1 + 0 -11 + 2x = 1 Add '11' to each side of the equation. -11 + 11 + 2x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 1 + 11 2x = 1 + 11 Combine like terms: 1 + 11 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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