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Simplifying 8(x + -3) = -8(x + 4) + 41 Reorder the terms: 8(-3 + x) = -8(x + 4) + 41 (-3 * 8 + x * 8) = -8(x + 4) + 41 (-24 + 8x) = -8(x + 4) + 41 Reorder the terms: -24 + 8x = -8(4 + x) + 41 -24 + 8x = (4 * -8 + x * -8) + 41 -24 + 8x = (-32 + -8x) + 41 Reorder the terms: -24 + 8x = -32 + 41 + -8x Combine like terms: -32 + 41 = 9 -24 + 8x = 9 + -8x Solving -24 + 8x = 9 + -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 + 8x + 8x = 9 + -8x + 8x Combine like terms: 8x + 8x = 16x -24 + 16x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 16x = 9 + 0 -24 + 16x = 9 Add '24' to each side of the equation. -24 + 24 + 16x = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = 9 + 24 16x = 9 + 24 Combine like terms: 9 + 24 = 33 16x = 33 Divide each side by '16'. x = 2.0625 Simplifying x = 2.0625
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