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Simplifying 7x + 12 + -5x = -5x + -5 + x Reorder the terms: 12 + 7x + -5x = -5x + -5 + x Combine like terms: 7x + -5x = 2x 12 + 2x = -5x + -5 + x Reorder the terms: 12 + 2x = -5 + -5x + x Combine like terms: -5x + x = -4x 12 + 2x = -5 + -4x Solving 12 + 2x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 2x + 4x = -5 + -4x + 4x Combine like terms: 2x + 4x = 6x 12 + 6x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 6x = -5 + 0 12 + 6x = -5 Add '-12' to each side of the equation. 12 + -12 + 6x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -5 + -12 6x = -5 + -12 Combine like terms: -5 + -12 = -17 6x = -17 Divide each side by '6'. x = -2.833333333 Simplifying x = -2.833333333
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