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Simplifying 3(3x + -5) = 81(x + 3) Reorder the terms: 3(-5 + 3x) = 81(x + 3) (-5 * 3 + 3x * 3) = 81(x + 3) (-15 + 9x) = 81(x + 3) Reorder the terms: -15 + 9x = 81(3 + x) -15 + 9x = (3 * 81 + x * 81) -15 + 9x = (243 + 81x) Solving -15 + 9x = 243 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. -15 + 9x + -81x = 243 + 81x + -81x Combine like terms: 9x + -81x = -72x -15 + -72x = 243 + 81x + -81x Combine like terms: 81x + -81x = 0 -15 + -72x = 243 + 0 -15 + -72x = 243 Add '15' to each side of the equation. -15 + 15 + -72x = 243 + 15 Combine like terms: -15 + 15 = 0 0 + -72x = 243 + 15 -72x = 243 + 15 Combine like terms: 243 + 15 = 258 -72x = 258 Divide each side by '-72'. x = -3.583333333 Simplifying x = -3.583333333
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