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Simplifying 0.5(5x + 6) = 0.1 + -1(x + -3) Reorder the terms: 0.5(6 + 5x) = 0.1 + -1(x + -3) (6 * 0.5 + 5x * 0.5) = 0.1 + -1(x + -3) (3 + 2.5x) = 0.1 + -1(x + -3) Reorder the terms: 3 + 2.5x = 0.1 + -1(-3 + x) 3 + 2.5x = 0.1 + (-3 * -1 + x * -1) 3 + 2.5x = 0.1 + (3 + -1x) Combine like terms: 0.1 + 3 = 3.1 3 + 2.5x = 3.1 + -1x Solving 3 + 2.5x = 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 + 2.5x + x = 3.1 + -1x + x Combine like terms: 2.5x + x = 3.5x 3 + 3.5x = 3.1 + -1x + x Combine like terms: -1x + x = 0 3 + 3.5x = 3.1 + 0 3 + 3.5x = 3.1 Add '-3' to each side of the equation. 3 + -3 + 3.5x = 3.1 + -3 Combine like terms: 3 + -3 = 0 0 + 3.5x = 3.1 + -3 3.5x = 3.1 + -3 Combine like terms: 3.1 + -3 = 0.1 3.5x = 0.1 Divide each side by '3.5'. x = 0.02857142857 Simplifying x = 0.02857142857
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