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Simplifying 3x + 10.5 = 6.5 + 2.5x Reorder the terms: 10.5 + 3x = 6.5 + 2.5x Solving 10.5 + 3x = 6.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 10.5 + 3x + -2.5x = 6.5 + 2.5x + -2.5x Combine like terms: 3x + -2.5x = 0.5x 10.5 + 0.5x = 6.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 10.5 + 0.5x = 6.5 + 0.0 10.5 + 0.5x = 6.5 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 0.5x = 6.5 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 0.5x = 6.5 + -10.5 0.5x = 6.5 + -10.5 Combine like terms: 6.5 + -10.5 = -4 0.5x = -4 Divide each side by '0.5'. x = -8 Simplifying x = -8
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