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Simplifying 3 + -7x + 4 = 5 + -2x + 9 + -12x Reorder the terms: 3 + 4 + -7x = 5 + -2x + 9 + -12x Combine like terms: 3 + 4 = 7 7 + -7x = 5 + -2x + 9 + -12x Reorder the terms: 7 + -7x = 5 + 9 + -2x + -12x Combine like terms: 5 + 9 = 14 7 + -7x = 14 + -2x + -12x Combine like terms: -2x + -12x = -14x 7 + -7x = 14 + -14x Solving 7 + -7x = 14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 7 + -7x + 14x = 14 + -14x + 14x Combine like terms: -7x + 14x = 7x 7 + 7x = 14 + -14x + 14x Combine like terms: -14x + 14x = 0 7 + 7x = 14 + 0 7 + 7x = 14 Add '-7' to each side of the equation. 7 + -7 + 7x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 14 + -7 7x = 14 + -7 Combine like terms: 14 + -7 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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