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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 = 43 43 + -4x = 8x + -45 Reorder the terms: 43 + -4x = -45 + 8x Solving 43 + -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. 43 + -4x + -8x = -45 + 8x + -8x Combine like terms: -4x + -8x = -12x 43 + -12x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 43 + -12x = -45 + 0 43 + -12x = -45 Add '-43' to each side of the equation. 43 + -43 + -12x = -45 + -43 Combine like terms: 43 + -43 = 0 0 + -12x = -45 + -43 -12x = -45 + -43 Combine like terms: -45 + -43 = -88 -12x = -88 Divide each side by '-12'. x = 7.333333333 Simplifying x = 7.333333333
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