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Simplifying 8x + 12 + -5x = 4x + 16 + -3x Reorder the terms: 12 + 8x + -5x = 4x + 16 + -3x Combine like terms: 8x + -5x = 3x 12 + 3x = 4x + 16 + -3x Reorder the terms: 12 + 3x = 16 + 4x + -3x Combine like terms: 4x + -3x = 1x 12 + 3x = 16 + 1x Solving 12 + 3x = 16 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 3x + -1x = 16 + 1x + -1x Combine like terms: 3x + -1x = 2x 12 + 2x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 2x = 16 + 0 12 + 2x = 16 Add '-12' to each side of the equation. 12 + -12 + 2x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 16 + -12 2x = 16 + -12 Combine like terms: 16 + -12 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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