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Simplifying 2x + -7 + 12x = 12x + 42 + 48 Reorder the terms: -7 + 2x + 12x = 12x + 42 + 48 Combine like terms: 2x + 12x = 14x -7 + 14x = 12x + 42 + 48 Reorder the terms: -7 + 14x = 42 + 48 + 12x Combine like terms: 42 + 48 = 90 -7 + 14x = 90 + 12x Solving -7 + 14x = 90 + 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. -7 + 14x + -12x = 90 + 12x + -12x Combine like terms: 14x + -12x = 2x -7 + 2x = 90 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + 2x = 90 + 0 -7 + 2x = 90 Add '7' to each side of the equation. -7 + 7 + 2x = 90 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 90 + 7 2x = 90 + 7 Combine like terms: 90 + 7 = 97 2x = 97 Divide each side by '2'. x = 48.5 Simplifying x = 48.5
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