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Simplifying ((2 * 30) + 4x) + ((1 * 30) + 1x) = 165 Multiply 2 * 30 ((60) + 4x) + ((1 * 30) + 1x) = 165 (60 + 4x) + ((1 * 30) + 1x) = 165 Remove parenthesis around (60 + 4x) 60 + 4x + ((1 * 30) + 1x) = 165 Multiply 1 * 30 60 + 4x + ((30) + 1x) = 165 60 + 4x + (30 + 1x) = 165 Remove parenthesis around (30 + 1x) 60 + 4x + 30 + 1x = 165 Reorder the terms: 60 + 30 + 4x + 1x = 165 Combine like terms: 60 + 30 = 90 90 + 4x + 1x = 165 Combine like terms: 4x + 1x = 5x 90 + 5x = 165 Solving 90 + 5x = 165 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 5x = 165 + -90 Combine like terms: 90 + -90 = 0 0 + 5x = 165 + -90 5x = 165 + -90 Combine like terms: 165 + -90 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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