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Simplifying -413 = 3x + 5(-4x + -32) Reorder the terms: -413 = 3x + 5(-32 + -4x) -413 = 3x + (-32 * 5 + -4x * 5) -413 = 3x + (-160 + -20x) Reorder the terms: -413 = -160 + 3x + -20x Combine like terms: 3x + -20x = -17x -413 = -160 + -17x Solving -413 = -160 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -413 + 17x = -160 + -17x + 17x Combine like terms: -17x + 17x = 0 -413 + 17x = -160 + 0 -413 + 17x = -160 Add '413' to each side of the equation. -413 + 413 + 17x = -160 + 413 Combine like terms: -413 + 413 = 0 0 + 17x = -160 + 413 17x = -160 + 413 Combine like terms: -160 + 413 = 253 17x = 253 Divide each side by '17'. x = 14.88235294 Simplifying x = 14.88235294
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