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Simplifying 15x + 30 = 12x + 42 Reorder the terms: 30 + 15x = 12x + 42 Reorder the terms: 30 + 15x = 42 + 12x Solving 30 + 15x = 42 + 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. 30 + 15x + -12x = 42 + 12x + -12x Combine like terms: 15x + -12x = 3x 30 + 3x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + 3x = 42 + 0 30 + 3x = 42 Add '-30' to each side of the equation. 30 + -30 + 3x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 42 + -30 3x = 42 + -30 Combine like terms: 42 + -30 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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