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Simplifying 7x + 12 = -4x + 1 + 9x + -5 Reorder the terms: 12 + 7x = -4x + 1 + 9x + -5 Reorder the terms: 12 + 7x = 1 + -5 + -4x + 9x Combine like terms: 1 + -5 = -4 12 + 7x = -4 + -4x + 9x Combine like terms: -4x + 9x = 5x 12 + 7x = -4 + 5x Solving 12 + 7x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 7x + -5x = -4 + 5x + -5x Combine like terms: 7x + -5x = 2x 12 + 2x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 2x = -4 + 0 12 + 2x = -4 Add '-12' to each side of the equation. 12 + -12 + 2x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -4 + -12 2x = -4 + -12 Combine like terms: -4 + -12 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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