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Simplifying 5(2 + -1x) + 4(3x + x) = 83 (2 * 5 + -1x * 5) + 4(3x + x) = 83 (10 + -5x) + 4(3x + x) = 83 Combine like terms: 3x + x = 4x 10 + -5x + 4(4x) = 83 Remove parenthesis around (4x) 10 + -5x + 4 * 4x = 83 Multiply 4 * 4 10 + -5x + 16x = 83 Combine like terms: -5x + 16x = 11x 10 + 11x = 83 Solving 10 + 11x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11x = 83 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 83 + -10 11x = 83 + -10 Combine like terms: 83 + -10 = 73 11x = 73 Divide each side by '11'. x = 6.636363636 Simplifying x = 6.636363636
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