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Simplifying 12x + -7 + 3x + -4 = 11x + -2 + 3 Reorder the terms: -7 + -4 + 12x + 3x = 11x + -2 + 3 Combine like terms: -7 + -4 = -11 -11 + 12x + 3x = 11x + -2 + 3 Combine like terms: 12x + 3x = 15x -11 + 15x = 11x + -2 + 3 Reorder the terms: -11 + 15x = -2 + 3 + 11x Combine like terms: -2 + 3 = 1 -11 + 15x = 1 + 11x Solving -11 + 15x = 1 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -11 + 15x + -11x = 1 + 11x + -11x Combine like terms: 15x + -11x = 4x -11 + 4x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 -11 + 4x = 1 + 0 -11 + 4x = 1 Add '11' to each side of the equation. -11 + 11 + 4x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 1 + 11 4x = 1 + 11 Combine like terms: 1 + 11 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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