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Simplifying -8(4 + -1x) = 0.8(x + 23) (4 * -8 + -1x * -8) = 0.8(x + 23) (-32 + 8x) = 0.8(x + 23) Reorder the terms: -32 + 8x = 0.8(23 + x) -32 + 8x = (23 * 0.8 + x * 0.8) -32 + 8x = (18.4 + 0.8x) Solving -32 + 8x = 18.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -32 + 8x + -0.8x = 18.4 + 0.8x + -0.8x Combine like terms: 8x + -0.8x = 7.2x -32 + 7.2x = 18.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -32 + 7.2x = 18.4 + 0.0 -32 + 7.2x = 18.4 Add '32' to each side of the equation. -32 + 32 + 7.2x = 18.4 + 32 Combine like terms: -32 + 32 = 0 0 + 7.2x = 18.4 + 32 7.2x = 18.4 + 32 Combine like terms: 18.4 + 32 = 50.4 7.2x = 50.4 Divide each side by '7.2'. x = 7 Simplifying x = 7
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