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Simplifying 6(x + -4) = -8(x + 3) + 44 Reorder the terms: 6(-4 + x) = -8(x + 3) + 44 (-4 * 6 + x * 6) = -8(x + 3) + 44 (-24 + 6x) = -8(x + 3) + 44 Reorder the terms: -24 + 6x = -8(3 + x) + 44 -24 + 6x = (3 * -8 + x * -8) + 44 -24 + 6x = (-24 + -8x) + 44 Reorder the terms: -24 + 6x = -24 + 44 + -8x Combine like terms: -24 + 44 = 20 -24 + 6x = 20 + -8x Solving -24 + 6x = 20 + -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 = 20 + -8x + 8x Combine like terms: 6x + 8x = 14x -24 + 14x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 14x = 20 + 0 -24 + 14x = 20 Add '24' to each side of the equation. -24 + 24 + 14x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 20 + 24 14x = 20 + 24 Combine like terms: 20 + 24 = 44 14x = 44 Divide each side by '14'. x = 3.142857143 Simplifying x = 3.142857143
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