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Simplifying 8(x + -1) = -6(x + 4) + 40 Reorder the terms: 8(-1 + x) = -6(x + 4) + 40 (-1 * 8 + x * 8) = -6(x + 4) + 40 (-8 + 8x) = -6(x + 4) + 40 Reorder the terms: -8 + 8x = -6(4 + x) + 40 -8 + 8x = (4 * -6 + x * -6) + 40 -8 + 8x = (-24 + -6x) + 40 Reorder the terms: -8 + 8x = -24 + 40 + -6x Combine like terms: -24 + 40 = 16 -8 + 8x = 16 + -6x Solving -8 + 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. -8 + 8x + 6x = 16 + -6x + 6x Combine like terms: 8x + 6x = 14x -8 + 14x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 14x = 16 + 0 -8 + 14x = 16 Add '8' to each side of the equation. -8 + 8 + 14x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 16 + 8 14x = 16 + 8 Combine like terms: 16 + 8 = 24 14x = 24 Divide each side by '14'. x = 1.714285714 Simplifying x = 1.714285714
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