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Simplifying 6.50x + 2(10) = 4(x + 10) Multiply 2 * 10 6.50x + 20 = 4(x + 10) Reorder the terms: 20 + 6.50x = 4(x + 10) Reorder the terms: 20 + 6.50x = 4(10 + x) 20 + 6.50x = (10 * 4 + x * 4) 20 + 6.50x = (40 + 4x) Solving 20 + 6.50x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 6.50x + -4x = 40 + 4x + -4x Combine like terms: 6.50x + -4x = 2.5x 20 + 2.5x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 2.5x = 40 + 0 20 + 2.5x = 40 Add '-20' to each side of the equation. 20 + -20 + 2.5x = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 2.5x = 40 + -20 2.5x = 40 + -20 Combine like terms: 40 + -20 = 20 2.5x = 20 Divide each side by '2.5'. x = 8 Simplifying x = 8
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