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Simplifying 3.5x + 8 = 7.5x + -4 Reorder the terms: 8 + 3.5x = 7.5x + -4 Reorder the terms: 8 + 3.5x = -4 + 7.5x Solving 8 + 3.5x = -4 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 8 + 3.5x + -7.5x = -4 + 7.5x + -7.5x Combine like terms: 3.5x + -7.5x = -4x 8 + -4x = -4 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 8 + -4x = -4 + 0.0 8 + -4x = -4 Add '-8' to each side of the equation. 8 + -8 + -4x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -4 + -8 -4x = -4 + -8 Combine like terms: -4 + -8 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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