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Simplifying 2.1x + 3 = 0.5x + 15 Reorder the terms: 3 + 2.1x = 0.5x + 15 Reorder the terms: 3 + 2.1x = 15 + 0.5x Solving 3 + 2.1x = 15 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 3 + 2.1x + -0.5x = 15 + 0.5x + -0.5x Combine like terms: 2.1x + -0.5x = 1.6x 3 + 1.6x = 15 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + 1.6x = 15 + 0.0 3 + 1.6x = 15 Add '-3' to each side of the equation. 3 + -3 + 1.6x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1.6x = 15 + -3 1.6x = 15 + -3 Combine like terms: 15 + -3 = 12 1.6x = 12 Divide each side by '1.6'. x = 7.5 Simplifying x = 7.5
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