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Simplifying (10 + x) * 5 + 2x(3) + x(2) = 700 Reorder the terms for easier multiplication: 5(10 + x) + 2x(3) + x(2) = 700 (10 * 5 + x * 5) + 2x(3) + x(2) = 700 (50 + 5x) + 2x(3) + x(2) = 700 Reorder the terms for easier multiplication: 50 + 5x + 2 * 3x + x(2) = 700 Multiply 2 * 3 50 + 5x + 6x + x(2) = 700 Reorder the terms for easier multiplication: 50 + 5x + 6x + 2x = 700 Combine like terms: 5x + 6x = 11x 50 + 11x + 2x = 700 Combine like terms: 11x + 2x = 13x 50 + 13x = 700 Solving 50 + 13x = 700 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 = 700 + -50 Combine like terms: 50 + -50 = 0 0 + 13x = 700 + -50 13x = 700 + -50 Combine like terms: 700 + -50 = 650 13x = 650 Divide each side by '13'. x = 50 Simplifying x = 50
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