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Simplifying 6(x + -4) = 2(x + -8) + 3x Reorder the terms: 6(-4 + x) = 2(x + -8) + 3x (-4 * 6 + x * 6) = 2(x + -8) + 3x (-24 + 6x) = 2(x + -8) + 3x Reorder the terms: -24 + 6x = 2(-8 + x) + 3x -24 + 6x = (-8 * 2 + x * 2) + 3x -24 + 6x = (-16 + 2x) + 3x Combine like terms: 2x + 3x = 5x -24 + 6x = -16 + 5x Solving -24 + 6x = -16 + 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 + 6x + -5x = -16 + 5x + -5x Combine like terms: 6x + -5x = 1x -24 + 1x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 1x = -16 + 0 -24 + 1x = -16 Add '24' to each side of the equation. -24 + 24 + 1x = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -16 + 24 1x = -16 + 24 Combine like terms: -16 + 24 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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