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Simplifying 12x + 8 = 10x + 40 Reorder the terms: 8 + 12x = 10x + 40 Reorder the terms: 8 + 12x = 40 + 10x Solving 8 + 12x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 12x + -10x = 40 + 10x + -10x Combine like terms: 12x + -10x = 2x 8 + 2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + 2x = 40 + 0 8 + 2x = 40 Add '-8' to each side of the equation. 8 + -8 + 2x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 40 + -8 2x = 40 + -8 Combine like terms: 40 + -8 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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