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Simplifying 15x + 40 = 12x + 100 Reorder the terms: 40 + 15x = 12x + 100 Reorder the terms: 40 + 15x = 100 + 12x Solving 40 + 15x = 100 + 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 + 15x + -12x = 100 + 12x + -12x Combine like terms: 15x + -12x = 3x 40 + 3x = 100 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + 3x = 100 + 0 40 + 3x = 100 Add '-40' to each side of the equation. 40 + -40 + 3x = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 100 + -40 3x = 100 + -40 Combine like terms: 100 + -40 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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