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Simplifying 12x + 7 = -15 + 6.5x Reorder the terms: 7 + 12x = -15 + 6.5x Solving 7 + 12x = -15 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. 7 + 12x + -6.5x = -15 + 6.5x + -6.5x Combine like terms: 12x + -6.5x = 5.5x 7 + 5.5x = -15 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 7 + 5.5x = -15 + 0.0 7 + 5.5x = -15 Add '-7' to each side of the equation. 7 + -7 + 5.5x = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 5.5x = -15 + -7 5.5x = -15 + -7 Combine like terms: -15 + -7 = -22 5.5x = -22 Divide each side by '5.5'. x = -4 Simplifying x = -4
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