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Simplifying -127 = 3x + 4(-5x + -2) Reorder the terms: -127 = 3x + 4(-2 + -5x) -127 = 3x + (-2 * 4 + -5x * 4) -127 = 3x + (-8 + -20x) Reorder the terms: -127 = -8 + 3x + -20x Combine like terms: 3x + -20x = -17x -127 = -8 + -17x Solving -127 = -8 + -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. -127 + 17x = -8 + -17x + 17x Combine like terms: -17x + 17x = 0 -127 + 17x = -8 + 0 -127 + 17x = -8 Add '127' to each side of the equation. -127 + 127 + 17x = -8 + 127 Combine like terms: -127 + 127 = 0 0 + 17x = -8 + 127 17x = -8 + 127 Combine like terms: -8 + 127 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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