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Simplifying 2x + -3 + 12x = 15 + 7x + -4 Reorder the terms: -3 + 2x + 12x = 15 + 7x + -4 Combine like terms: 2x + 12x = 14x -3 + 14x = 15 + 7x + -4 Reorder the terms: -3 + 14x = 15 + -4 + 7x Combine like terms: 15 + -4 = 11 -3 + 14x = 11 + 7x Solving -3 + 14x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 14x + -7x = 11 + 7x + -7x Combine like terms: 14x + -7x = 7x -3 + 7x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + 7x = 11 + 0 -3 + 7x = 11 Add '3' to each side of the equation. -3 + 3 + 7x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 11 + 3 7x = 11 + 3 Combine like terms: 11 + 3 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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