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Simplifying 4x + -7 + -6x = -3x + -2 + -12 Reorder the terms: -7 + 4x + -6x = -3x + -2 + -12 Combine like terms: 4x + -6x = -2x -7 + -2x = -3x + -2 + -12 Reorder the terms: -7 + -2x = -2 + -12 + -3x Combine like terms: -2 + -12 = -14 -7 + -2x = -14 + -3x Solving -7 + -2x = -14 + -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. -7 + -2x + 3x = -14 + -3x + 3x Combine like terms: -2x + 3x = 1x -7 + 1x = -14 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 1x = -14 + 0 -7 + 1x = -14 Add '7' to each side of the equation. -7 + 7 + 1x = -14 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -14 + 7 1x = -14 + 7 Combine like terms: -14 + 7 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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