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Simplifying 73 = 3(2x + 5) + -2(x + -5) Reorder the terms: 73 = 3(5 + 2x) + -2(x + -5) 73 = (5 * 3 + 2x * 3) + -2(x + -5) 73 = (15 + 6x) + -2(x + -5) Reorder the terms: 73 = 15 + 6x + -2(-5 + x) 73 = 15 + 6x + (-5 * -2 + x * -2) 73 = 15 + 6x + (10 + -2x) Reorder the terms: 73 = 15 + 10 + 6x + -2x Combine like terms: 15 + 10 = 25 73 = 25 + 6x + -2x Combine like terms: 6x + -2x = 4x 73 = 25 + 4x Solving 73 = 25 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 73 + -4x = 25 + 4x + -4x Combine like terms: 4x + -4x = 0 73 + -4x = 25 + 0 73 + -4x = 25 Add '-73' to each side of the equation. 73 + -73 + -4x = 25 + -73 Combine like terms: 73 + -73 = 0 0 + -4x = 25 + -73 -4x = 25 + -73 Combine like terms: 25 + -73 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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