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Simplifying 3x + -127 = 8 + -5(x + 12) Reorder the terms: -127 + 3x = 8 + -5(x + 12) Reorder the terms: -127 + 3x = 8 + -5(12 + x) -127 + 3x = 8 + (12 * -5 + x * -5) -127 + 3x = 8 + (-60 + -5x) Combine like terms: 8 + -60 = -52 -127 + 3x = -52 + -5x Solving -127 + 3x = -52 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -127 + 3x + 5x = -52 + -5x + 5x Combine like terms: 3x + 5x = 8x -127 + 8x = -52 + -5x + 5x Combine like terms: -5x + 5x = 0 -127 + 8x = -52 + 0 -127 + 8x = -52 Add '127' to each side of the equation. -127 + 127 + 8x = -52 + 127 Combine like terms: -127 + 127 = 0 0 + 8x = -52 + 127 8x = -52 + 127 Combine like terms: -52 + 127 = 75 8x = 75 Divide each side by '8'. x = 9.375 Simplifying x = 9.375
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