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Simplifying [(8 + -32)(3x + 8)] = 23 + -57 Combine like terms: 8 + -32 = -24 [(-24)(3x + 8)] = 23 + -57 Reorder the terms: [-24(8 + 3x)] = 23 + -57 [(8 * -24 + 3x * -24)] = 23 + -57 [(-192 + -72x)] = 23 + -57 [-192 + -72x] = 23 + -57 Remove brackets around [-192 + -72x] -192 + -72x = 23 + -57 Combine like terms: 23 + -57 = -34 -192 + -72x = -34 Solving -192 + -72x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '192' to each side of the equation. -192 + 192 + -72x = -34 + 192 Combine like terms: -192 + 192 = 0 0 + -72x = -34 + 192 -72x = -34 + 192 Combine like terms: -34 + 192 = 158 -72x = 158 Divide each side by '-72'. x = -2.194444444 Simplifying x = -2.194444444
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