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Simplifying 12 + 4x = 30 + 2.5x Solving 12 + 4x = 30 + 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. 12 + 4x + -2.5x = 30 + 2.5x + -2.5x Combine like terms: 4x + -2.5x = 1.5x 12 + 1.5x = 30 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 12 + 1.5x = 30 + 0.0 12 + 1.5x = 30 Add '-12' to each side of the equation. 12 + -12 + 1.5x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 1.5x = 30 + -12 1.5x = 30 + -12 Combine like terms: 30 + -12 = 18 1.5x = 18 Divide each side by '1.5'. x = 12 Simplifying x = 12
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