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Simplifying 21x + -14 + -6x = 18x + 12 + -7x Reorder the terms: -14 + 21x + -6x = 18x + 12 + -7x Combine like terms: 21x + -6x = 15x -14 + 15x = 18x + 12 + -7x Reorder the terms: -14 + 15x = 12 + 18x + -7x Combine like terms: 18x + -7x = 11x -14 + 15x = 12 + 11x Solving -14 + 15x = 12 + 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. -14 + 15x + -11x = 12 + 11x + -11x Combine like terms: 15x + -11x = 4x -14 + 4x = 12 + 11x + -11x Combine like terms: 11x + -11x = 0 -14 + 4x = 12 + 0 -14 + 4x = 12 Add '14' to each side of the equation. -14 + 14 + 4x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 12 + 14 4x = 12 + 14 Combine like terms: 12 + 14 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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