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Simplifying 145 = 3x + 5(4x + 6) Reorder the terms: 145 = 3x + 5(6 + 4x) 145 = 3x + (6 * 5 + 4x * 5) 145 = 3x + (30 + 20x) Reorder the terms: 145 = 30 + 3x + 20x Combine like terms: 3x + 20x = 23x 145 = 30 + 23x Solving 145 = 30 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 145 + -23x = 30 + 23x + -23x Combine like terms: 23x + -23x = 0 145 + -23x = 30 + 0 145 + -23x = 30 Add '-145' to each side of the equation. 145 + -145 + -23x = 30 + -145 Combine like terms: 145 + -145 = 0 0 + -23x = 30 + -145 -23x = 30 + -145 Combine like terms: 30 + -145 = -115 -23x = -115 Divide each side by '-23'. x = 5 Simplifying x = 5
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