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Simplifying 6(x + -4) = -8(x + 3) + 36 Reorder the terms: 6(-4 + x) = -8(x + 3) + 36 (-4 * 6 + x * 6) = -8(x + 3) + 36 (-24 + 6x) = -8(x + 3) + 36 Reorder the terms: -24 + 6x = -8(3 + x) + 36 -24 + 6x = (3 * -8 + x * -8) + 36 -24 + 6x = (-24 + -8x) + 36 Reorder the terms: -24 + 6x = -24 + 36 + -8x Combine like terms: -24 + 36 = 12 -24 + 6x = 12 + -8x Solving -24 + 6x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + 6x + 8x = 12 + -8x + 8x Combine like terms: 6x + 8x = 14x -24 + 14x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 14x = 12 + 0 -24 + 14x = 12 Add '24' to each side of the equation. -24 + 24 + 14x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 12 + 24 14x = 12 + 24 Combine like terms: 12 + 24 = 36 14x = 36 Divide each side by '14'. x = 2.571428571 Simplifying x = 2.571428571
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