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Simplifying 12x + -5 + 3x + 2 = 4x + 2x + 11 Reorder the terms: -5 + 2 + 12x + 3x = 4x + 2x + 11 Combine like terms: -5 + 2 = -3 -3 + 12x + 3x = 4x + 2x + 11 Combine like terms: 12x + 3x = 15x -3 + 15x = 4x + 2x + 11 Reorder the terms: -3 + 15x = 11 + 4x + 2x Combine like terms: 4x + 2x = 6x -3 + 15x = 11 + 6x Solving -3 + 15x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 15x + -6x = 11 + 6x + -6x Combine like terms: 15x + -6x = 9x -3 + 9x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 9x = 11 + 0 -3 + 9x = 11 Add '3' to each side of the equation. -3 + 3 + 9x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 11 + 3 9x = 11 + 3 Combine like terms: 11 + 3 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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