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Simplifying 7(2.5) * x + 12 = 4(2.5) * x + 49 Multiply 7 * 2.5 17.5x + 12 = 4(2.5) * x + 49 Reorder the terms: 12 + 17.5x = 4(2.5) * x + 49 Multiply 4 * 2.5 12 + 17.5x = 10x + 49 Reorder the terms: 12 + 17.5x = 49 + 10x Solving 12 + 17.5x = 49 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 17.5x + -10x = 49 + 10x + -10x Combine like terms: 17.5x + -10x = 7.5x 12 + 7.5x = 49 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 7.5x = 49 + 0 12 + 7.5x = 49 Add '-12' to each side of the equation. 12 + -12 + 7.5x = 49 + -12 Combine like terms: 12 + -12 = 0 0 + 7.5x = 49 + -12 7.5x = 49 + -12 Combine like terms: 49 + -12 = 37 7.5x = 37 Divide each side by '7.5'. x = 4.933333333 Simplifying x = 4.933333333
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