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Simplifying 5x + -2(4 + -3x) = 4(x + -4) + -27 5x + (4 * -2 + -3x * -2) = 4(x + -4) + -27 5x + (-8 + 6x) = 4(x + -4) + -27 Reorder the terms: -8 + 5x + 6x = 4(x + -4) + -27 Combine like terms: 5x + 6x = 11x -8 + 11x = 4(x + -4) + -27 Reorder the terms: -8 + 11x = 4(-4 + x) + -27 -8 + 11x = (-4 * 4 + x * 4) + -27 -8 + 11x = (-16 + 4x) + -27 Reorder the terms: -8 + 11x = -16 + -27 + 4x Combine like terms: -16 + -27 = -43 -8 + 11x = -43 + 4x Solving -8 + 11x = -43 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 11x + -4x = -43 + 4x + -4x Combine like terms: 11x + -4x = 7x -8 + 7x = -43 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 7x = -43 + 0 -8 + 7x = -43 Add '8' to each side of the equation. -8 + 8 + 7x = -43 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = -43 + 8 7x = -43 + 8 Combine like terms: -43 + 8 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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