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Simplifying -7.5x + 4 + 2x = -8 + 6.5x Reorder the terms: 4 + -7.5x + 2x = -8 + 6.5x Combine like terms: -7.5x + 2x = -5.5x 4 + -5.5x = -8 + 6.5x Solving 4 + -5.5x = -8 + 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. 4 + -5.5x + -6.5x = -8 + 6.5x + -6.5x Combine like terms: -5.5x + -6.5x = -12x 4 + -12x = -8 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 4 + -12x = -8 + 0.0 4 + -12x = -8 Add '-4' to each side of the equation. 4 + -4 + -12x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -8 + -4 -12x = -8 + -4 Combine like terms: -8 + -4 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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