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Simplifying 3(x + -8) = 2[x + -1(4 + -1x)] Reorder the terms: 3(-8 + x) = 2[x + -1(4 + -1x)] (-8 * 3 + x * 3) = 2[x + -1(4 + -1x)] (-24 + 3x) = 2[x + -1(4 + -1x)] -24 + 3x = 2[x + (4 * -1 + -1x * -1)] -24 + 3x = 2[x + (-4 + 1x)] Reorder the terms: -24 + 3x = 2[-4 + x + 1x] Combine like terms: x + 1x = 2x -24 + 3x = 2[-4 + 2x] -24 + 3x = [-4 * 2 + 2x * 2] -24 + 3x = [-8 + 4x] Solving -24 + 3x = -8 + 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. -24 + 3x + -4x = -8 + 4x + -4x Combine like terms: 3x + -4x = -1x -24 + -1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + -1x = -8 + 0 -24 + -1x = -8 Add '24' to each side of the equation. -24 + 24 + -1x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -8 + 24 -1x = -8 + 24 Combine like terms: -8 + 24 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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