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Simplifying 3x + 2x + -8 = 16 + 3 + 7x + -7 Reorder the terms: -8 + 3x + 2x = 16 + 3 + 7x + -7 Combine like terms: 3x + 2x = 5x -8 + 5x = 16 + 3 + 7x + -7 Reorder the terms: -8 + 5x = 16 + 3 + -7 + 7x Combine like terms: 16 + 3 = 19 -8 + 5x = 19 + -7 + 7x Combine like terms: 19 + -7 = 12 -8 + 5x = 12 + 7x Solving -8 + 5x = 12 + 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. -8 + 5x + -7x = 12 + 7x + -7x Combine like terms: 5x + -7x = -2x -8 + -2x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -2x = 12 + 0 -8 + -2x = 12 Add '8' to each side of the equation. -8 + 8 + -2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 12 + 8 -2x = 12 + 8 Combine like terms: 12 + 8 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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