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Simplifying -4(x + 6) + -3 = 8 + -5x Reorder the terms: -4(6 + x) + -3 = 8 + -5x (6 * -4 + x * -4) + -3 = 8 + -5x (-24 + -4x) + -3 = 8 + -5x Reorder the terms: -24 + -3 + -4x = 8 + -5x Combine like terms: -24 + -3 = -27 -27 + -4x = 8 + -5x Solving -27 + -4x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -27 + -4x + 5x = 8 + -5x + 5x Combine like terms: -4x + 5x = 1x -27 + 1x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 1x = 8 + 0 -27 + 1x = 8 Add '27' to each side of the equation. -27 + 27 + 1x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 8 + 27 1x = 8 + 27 Combine like terms: 8 + 27 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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