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Simplifying x + 12 + 4x + 8 = 40 + -1x + 10 + -4x Reorder the terms: 12 + 8 + x + 4x = 40 + -1x + 10 + -4x Combine like terms: 12 + 8 = 20 20 + x + 4x = 40 + -1x + 10 + -4x Combine like terms: x + 4x = 5x 20 + 5x = 40 + -1x + 10 + -4x Reorder the terms: 20 + 5x = 40 + 10 + -1x + -4x Combine like terms: 40 + 10 = 50 20 + 5x = 50 + -1x + -4x Combine like terms: -1x + -4x = -5x 20 + 5x = 50 + -5x Solving 20 + 5x = 50 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 20 + 5x + 5x = 50 + -5x + 5x Combine like terms: 5x + 5x = 10x 20 + 10x = 50 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 10x = 50 + 0 20 + 10x = 50 Add '-20' to each side of the equation. 20 + -20 + 10x = 50 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 50 + -20 10x = 50 + -20 Combine like terms: 50 + -20 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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