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Simplifying 7x + 40 = 10 + 12x Reorder the terms: 40 + 7x = 10 + 12x Solving 40 + 7x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 7x + -12x = 10 + 12x + -12x Combine like terms: 7x + -12x = -5x 40 + -5x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -5x = 10 + 0 40 + -5x = 10 Add '-40' to each side of the equation. 40 + -40 + -5x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -5x = 10 + -40 -5x = 10 + -40 Combine like terms: 10 + -40 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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