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Simplifying 5x + -12 + 4x = 7x + 2 + -16 Reorder the terms: -12 + 5x + 4x = 7x + 2 + -16 Combine like terms: 5x + 4x = 9x -12 + 9x = 7x + 2 + -16 Reorder the terms: -12 + 9x = 2 + -16 + 7x Combine like terms: 2 + -16 = -14 -12 + 9x = -14 + 7x Solving -12 + 9x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 9x + -7x = -14 + 7x + -7x Combine like terms: 9x + -7x = 2x -12 + 2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 2x = -14 + 0 -12 + 2x = -14 Add '12' to each side of the equation. -12 + 12 + 2x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -14 + 12 2x = -14 + 12 Combine like terms: -14 + 12 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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