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Simplifying 4x + -7x + -12 = 3x + 7 + -12 Reorder the terms: -12 + 4x + -7x = 3x + 7 + -12 Combine like terms: 4x + -7x = -3x -12 + -3x = 3x + 7 + -12 Reorder the terms: -12 + -3x = 7 + -12 + 3x Combine like terms: 7 + -12 = -5 -12 + -3x = -5 + 3x Solving -12 + -3x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -3x + -3x = -5 + 3x + -3x Combine like terms: -3x + -3x = -6x -12 + -6x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -6x = -5 + 0 -12 + -6x = -5 Add '12' to each side of the equation. -12 + 12 + -6x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -5 + 12 -6x = -5 + 12 Combine like terms: -5 + 12 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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