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Simplifying 0.6(8x + 5) = 0.1 + -1(x + -3) Reorder the terms: 0.6(5 + 8x) = 0.1 + -1(x + -3) (5 * 0.6 + 8x * 0.6) = 0.1 + -1(x + -3) (3 + 4.8x) = 0.1 + -1(x + -3) Reorder the terms: 3 + 4.8x = 0.1 + -1(-3 + x) 3 + 4.8x = 0.1 + (-3 * -1 + x * -1) 3 + 4.8x = 0.1 + (3 + -1x) Combine like terms: 0.1 + 3 = 3.1 3 + 4.8x = 3.1 + -1x Solving 3 + 4.8x = 3.1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 4.8x + x = 3.1 + -1x + x Combine like terms: 4.8x + x = 5.8x 3 + 5.8x = 3.1 + -1x + x Combine like terms: -1x + x = 0 3 + 5.8x = 3.1 + 0 3 + 5.8x = 3.1 Add '-3' to each side of the equation. 3 + -3 + 5.8x = 3.1 + -3 Combine like terms: 3 + -3 = 0 0 + 5.8x = 3.1 + -3 5.8x = 3.1 + -3 Combine like terms: 3.1 + -3 = 0.1 5.8x = 0.1 Divide each side by '5.8'. x = 0.01724137931 Simplifying x = 0.01724137931
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