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Simplifying -3(x + 8) + -1x = x + -6(x + -2) Reorder the terms: -3(8 + x) + -1x = x + -6(x + -2) (8 * -3 + x * -3) + -1x = x + -6(x + -2) (-24 + -3x) + -1x = x + -6(x + -2) Combine like terms: -3x + -1x = -4x -24 + -4x = x + -6(x + -2) Reorder the terms: -24 + -4x = x + -6(-2 + x) -24 + -4x = x + (-2 * -6 + x * -6) -24 + -4x = x + (12 + -6x) Reorder the terms: -24 + -4x = 12 + x + -6x Combine like terms: x + -6x = -5x -24 + -4x = 12 + -5x Solving -24 + -4x = 12 + -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. -24 + -4x + 5x = 12 + -5x + 5x Combine like terms: -4x + 5x = 1x -24 + 1x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 1x = 12 + 0 -24 + 1x = 12 Add '24' to each side of the equation. -24 + 24 + 1x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 12 + 24 1x = 12 + 24 Combine like terms: 12 + 24 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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