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Simplifying -4(4x + -3) + -5x = -27 + -8x Reorder the terms: -4(-3 + 4x) + -5x = -27 + -8x (-3 * -4 + 4x * -4) + -5x = -27 + -8x (12 + -16x) + -5x = -27 + -8x Combine like terms: -16x + -5x = -21x 12 + -21x = -27 + -8x Solving 12 + -21x = -27 + -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. 12 + -21x + 8x = -27 + -8x + 8x Combine like terms: -21x + 8x = -13x 12 + -13x = -27 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + -13x = -27 + 0 12 + -13x = -27 Add '-12' to each side of the equation. 12 + -12 + -13x = -27 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -27 + -12 -13x = -27 + -12 Combine like terms: -27 + -12 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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