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Simplifying 3(8x + -5) + 6x + 45 = 180 Reorder the terms: 3(-5 + 8x) + 6x + 45 = 180 (-5 * 3 + 8x * 3) + 6x + 45 = 180 (-15 + 24x) + 6x + 45 = 180 Reorder the terms: -15 + 45 + 24x + 6x = 180 Combine like terms: -15 + 45 = 30 30 + 24x + 6x = 180 Combine like terms: 24x + 6x = 30x 30 + 30x = 180 Solving 30 + 30x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 30x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 30x = 180 + -30 30x = 180 + -30 Combine like terms: 180 + -30 = 150 30x = 150 Divide each side by '30'. x = 5 Simplifying x = 5
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