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Simplifying 7x + -3x + 12 = 4x + -2x + 20 + -4 Reorder the terms: 12 + 7x + -3x = 4x + -2x + 20 + -4 Combine like terms: 7x + -3x = 4x 12 + 4x = 4x + -2x + 20 + -4 Reorder the terms: 12 + 4x = 20 + -4 + 4x + -2x Combine like terms: 20 + -4 = 16 12 + 4x = 16 + 4x + -2x Combine like terms: 4x + -2x = 2x 12 + 4x = 16 + 2x Solving 12 + 4x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 4x + -2x = 16 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 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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