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Simplifying 5x + 8 + -2x + -12 = 7x + 16 Reorder the terms: 8 + -12 + 5x + -2x = 7x + 16 Combine like terms: 8 + -12 = -4 -4 + 5x + -2x = 7x + 16 Combine like terms: 5x + -2x = 3x -4 + 3x = 7x + 16 Reorder the terms: -4 + 3x = 16 + 7x Solving -4 + 3x = 16 + 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. -4 + 3x + -7x = 16 + 7x + -7x Combine like terms: 3x + -7x = -4x -4 + -4x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -4x = 16 + 0 -4 + -4x = 16 Add '4' to each side of the equation. -4 + 4 + -4x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 16 + 4 -4x = 16 + 4 Combine like terms: 16 + 4 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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