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Simplifying 27 + 4(x + -4) = -8x + -45 Reorder the terms: 27 + 4(-4 + x) = -8x + -45 27 + (-4 * 4 + x * 4) = -8x + -45 27 + (-16 + 4x) = -8x + -45 Combine like terms: 27 + -16 = 11 11 + 4x = -8x + -45 Reorder the terms: 11 + 4x = -45 + -8x Solving 11 + 4x = -45 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 11 + 4x + 8x = -45 + -8x + 8x Combine like terms: 4x + 8x = 12x 11 + 12x = -45 + -8x + 8x Combine like terms: -8x + 8x = 0 11 + 12x = -45 + 0 11 + 12x = -45 Add '-11' to each side of the equation. 11 + -11 + 12x = -45 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = -45 + -11 12x = -45 + -11 Combine like terms: -45 + -11 = -56 12x = -56 Divide each side by '12'. x = -4.666666667 Simplifying x = -4.666666667
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