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Simplifying 2(10) + 1x = 1.5(10) + 0.75x + 10 Multiply 2 * 10 20 + 1x = 1.5(10) + 0.75x + 10 Multiply 1.5 * 10 20 + 1x = 15 + 0.75x + 10 Reorder the terms: 20 + 1x = 15 + 10 + 0.75x Combine like terms: 15 + 10 = 25 20 + 1x = 25 + 0.75x Solving 20 + 1x = 25 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 20 + 1x + -0.75x = 25 + 0.75x + -0.75x Combine like terms: 1x + -0.75x = 0.25x 20 + 0.25x = 25 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 20 + 0.25x = 25 + 0.00 20 + 0.25x = 25 Add '-20' to each side of the equation. 20 + -20 + 0.25x = 25 + -20 Combine like terms: 20 + -20 = 0 0 + 0.25x = 25 + -20 0.25x = 25 + -20 Combine like terms: 25 + -20 = 5 0.25x = 5 Divide each side by '0.25'. x = 20 Simplifying x = 20
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