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Simplifying 5(x + 10) + 2x + 3(2x) = 310 Reorder the terms: 5(10 + x) + 2x + 3(2x) = 310 (10 * 5 + x * 5) + 2x + 3(2x) = 310 (50 + 5x) + 2x + 3(2x) = 310 Remove parenthesis around (2x) 50 + 5x + 2x + 3 * 2x = 310 Multiply 3 * 2 50 + 5x + 2x + 6x = 310 Combine like terms: 5x + 2x = 7x 50 + 7x + 6x = 310 Combine like terms: 7x + 6x = 13x 50 + 13x = 310 Solving 50 + 13x = 310 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 13x = 310 + -50 Combine like terms: 50 + -50 = 0 0 + 13x = 310 + -50 13x = 310 + -50 Combine like terms: 310 + -50 = 260 13x = 260 Divide each side by '13'. x = 20 Simplifying x = 20
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