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Simplifying -3x + 7 = -5x + -12 Reorder the terms: 7 + -3x = -5x + -12 Reorder the terms: 7 + -3x = -12 + -5x Solving 7 + -3x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + -3x + 5x = -12 + -5x + 5x Combine like terms: -3x + 5x = 2x 7 + 2x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 2x = -12 + 0 7 + 2x = -12 Add '-7' to each side of the equation. 7 + -7 + 2x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -12 + -7 2x = -12 + -7 Combine like terms: -12 + -7 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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