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Simplifying -8(7 + -1x) = 0.8(x + 29) (7 * -8 + -1x * -8) = 0.8(x + 29) (-56 + 8x) = 0.8(x + 29) Reorder the terms: -56 + 8x = 0.8(29 + x) -56 + 8x = (29 * 0.8 + x * 0.8) -56 + 8x = (23.2 + 0.8x) Solving -56 + 8x = 23.2 + 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. -56 + 8x + -0.8x = 23.2 + 0.8x + -0.8x Combine like terms: 8x + -0.8x = 7.2x -56 + 7.2x = 23.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -56 + 7.2x = 23.2 + 0.0 -56 + 7.2x = 23.2 Add '56' to each side of the equation. -56 + 56 + 7.2x = 23.2 + 56 Combine like terms: -56 + 56 = 0 0 + 7.2x = 23.2 + 56 7.2x = 23.2 + 56 Combine like terms: 23.2 + 56 = 79.2 7.2x = 79.2 Divide each side by '7.2'. x = 11 Simplifying x = 11
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