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Simplifying 5x + 3(10) = 3.5(x + 10) Multiply 3 * 10 5x + 30 = 3.5(x + 10) Reorder the terms: 30 + 5x = 3.5(x + 10) Reorder the terms: 30 + 5x = 3.5(10 + x) 30 + 5x = (10 * 3.5 + x * 3.5) 30 + 5x = (35 + 3.5x) Solving 30 + 5x = 35 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 30 + 5x + -3.5x = 35 + 3.5x + -3.5x Combine like terms: 5x + -3.5x = 1.5x 30 + 1.5x = 35 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 30 + 1.5x = 35 + 0.0 30 + 1.5x = 35 Add '-30' to each side of the equation. 30 + -30 + 1.5x = 35 + -30 Combine like terms: 30 + -30 = 0 0 + 1.5x = 35 + -30 1.5x = 35 + -30 Combine like terms: 35 + -30 = 5 1.5x = 5 Divide each side by '1.5'. x = 3.333333333 Simplifying x = 3.333333333
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