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Simplifying 8(x + -3) = -6(x + 4) + 40 Reorder the terms: 8(-3 + x) = -6(x + 4) + 40 (-3 * 8 + x * 8) = -6(x + 4) + 40 (-24 + 8x) = -6(x + 4) + 40 Reorder the terms: -24 + 8x = -6(4 + x) + 40 -24 + 8x = (4 * -6 + x * -6) + 40 -24 + 8x = (-24 + -6x) + 40 Reorder the terms: -24 + 8x = -24 + 40 + -6x Combine like terms: -24 + 40 = 16 -24 + 8x = 16 + -6x Solving -24 + 8x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 8x + 6x = 16 + -6x + 6x Combine like terms: 8x + 6x = 14x -24 + 14x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 14x = 16 + 0 -24 + 14x = 16 Add '24' to each side of the equation. -24 + 24 + 14x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 16 + 24 14x = 16 + 24 Combine like terms: 16 + 24 = 40 14x = 40 Divide each side by '14'. x = 2.857142857 Simplifying x = 2.857142857
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