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Simplifying -5x + -4(3 + -4x) = 3(x + -3) + -27 -5x + (3 * -4 + -4x * -4) = 3(x + -3) + -27 -5x + (-12 + 16x) = 3(x + -3) + -27 Reorder the terms: -12 + -5x + 16x = 3(x + -3) + -27 Combine like terms: -5x + 16x = 11x -12 + 11x = 3(x + -3) + -27 Reorder the terms: -12 + 11x = 3(-3 + x) + -27 -12 + 11x = (-3 * 3 + x * 3) + -27 -12 + 11x = (-9 + 3x) + -27 Reorder the terms: -12 + 11x = -9 + -27 + 3x Combine like terms: -9 + -27 = -36 -12 + 11x = -36 + 3x Solving -12 + 11x = -36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 11x + -3x = -36 + 3x + -3x Combine like terms: 11x + -3x = 8x -12 + 8x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 8x = -36 + 0 -12 + 8x = -36 Add '12' to each side of the equation. -12 + 12 + 8x = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -36 + 12 8x = -36 + 12 Combine like terms: -36 + 12 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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