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Simplifying 8x + 3 + 4x = 4x + 7.5 Reorder the terms: 3 + 8x + 4x = 4x + 7.5 Combine like terms: 8x + 4x = 12x 3 + 12x = 4x + 7.5 Reorder the terms: 3 + 12x = 7.5 + 4x Solving 3 + 12x = 7.5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 12x + -4x = 7.5 + 4x + -4x Combine like terms: 12x + -4x = 8x 3 + 8x = 7.5 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 8x = 7.5 + 0 3 + 8x = 7.5 Add '-3' to each side of the equation. 3 + -3 + 8x = 7.5 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 7.5 + -3 8x = 7.5 + -3 Combine like terms: 7.5 + -3 = 4.5 8x = 4.5 Divide each side by '8'. x = 0.5625 Simplifying x = 0.5625
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