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Simplifying 127 + 3x = 38 + -1(16 + 32x) 127 + 3x = 38 + (16 * -1 + 32x * -1) 127 + 3x = 38 + (-16 + -32x) Combine like terms: 38 + -16 = 22 127 + 3x = 22 + -32x Solving 127 + 3x = 22 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 127 + 3x + 32x = 22 + -32x + 32x Combine like terms: 3x + 32x = 35x 127 + 35x = 22 + -32x + 32x Combine like terms: -32x + 32x = 0 127 + 35x = 22 + 0 127 + 35x = 22 Add '-127' to each side of the equation. 127 + -127 + 35x = 22 + -127 Combine like terms: 127 + -127 = 0 0 + 35x = 22 + -127 35x = 22 + -127 Combine like terms: 22 + -127 = -105 35x = -105 Divide each side by '35'. x = -3 Simplifying x = -3
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