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Simplifying 0.6(2x + 5) = 0.1 + -1(x + -3) Reorder the terms: 0.6(5 + 2x) = 0.1 + -1(x + -3) (5 * 0.6 + 2x * 0.6) = 0.1 + -1(x + -3) (3 + 1.2x) = 0.1 + -1(x + -3) Reorder the terms: 3 + 1.2x = 0.1 + -1(-3 + x) 3 + 1.2x = 0.1 + (-3 * -1 + x * -1) 3 + 1.2x = 0.1 + (3 + -1x) Combine like terms: 0.1 + 3 = 3.1 3 + 1.2x = 3.1 + -1x Solving 3 + 1.2x = 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 + 1.2x + x = 3.1 + -1x + x Combine like terms: 1.2x + x = 2.2x 3 + 2.2x = 3.1 + -1x + x Combine like terms: -1x + x = 0 3 + 2.2x = 3.1 + 0 3 + 2.2x = 3.1 Add '-3' to each side of the equation. 3 + -3 + 2.2x = 3.1 + -3 Combine like terms: 3 + -3 = 0 0 + 2.2x = 3.1 + -3 2.2x = 3.1 + -3 Combine like terms: 3.1 + -3 = 0.1 2.2x = 0.1 Divide each side by '2.2'. x = 0.04545454545 Simplifying x = 0.04545454545
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