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Simplifying 8(3 + -1x) = 0.2(x + 5) (3 * 8 + -1x * 8) = 0.2(x + 5) (24 + -8x) = 0.2(x + 5) Reorder the terms: 24 + -8x = 0.2(5 + x) 24 + -8x = (5 * 0.2 + x * 0.2) 24 + -8x = (1 + 0.2x) Solving 24 + -8x = 1 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 24 + -8x + -0.2x = 1 + 0.2x + -0.2x Combine like terms: -8x + -0.2x = -8.2x 24 + -8.2x = 1 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 24 + -8.2x = 1 + 0.0 24 + -8.2x = 1 Add '-24' to each side of the equation. 24 + -24 + -8.2x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -8.2x = 1 + -24 -8.2x = 1 + -24 Combine like terms: 1 + -24 = -23 -8.2x = -23 Divide each side by '-8.2'. x = 2.804878049 Simplifying x = 2.804878049
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