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Simplifying -4 + -2x + 7 = 3x + -12 Reorder the terms: -4 + 7 + -2x = 3x + -12 Combine like terms: -4 + 7 = 3 3 + -2x = 3x + -12 Reorder the terms: 3 + -2x = -12 + 3x Solving 3 + -2x = -12 + 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. 3 + -2x + -3x = -12 + 3x + -3x Combine like terms: -2x + -3x = -5x 3 + -5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -5x = -12 + 0 3 + -5x = -12 Add '-3' to each side of the equation. 3 + -3 + -5x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -12 + -3 -5x = -12 + -3 Combine like terms: -12 + -3 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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