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Simplifying 0.1(x + 36) = 2(2 + -1x) Reorder the terms: 0.1(36 + x) = 2(2 + -1x) (36 * 0.1 + x * 0.1) = 2(2 + -1x) (3.6 + 0.1x) = 2(2 + -1x) 3.6 + 0.1x = (2 * 2 + -1x * 2) 3.6 + 0.1x = (4 + -2x) Solving 3.6 + 0.1x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3.6 + 0.1x + 2x = 4 + -2x + 2x Combine like terms: 0.1x + 2x = 2.1x 3.6 + 2.1x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 3.6 + 2.1x = 4 + 0 3.6 + 2.1x = 4 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 2.1x = 4 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 2.1x = 4 + -3.6 2.1x = 4 + -3.6 Combine like terms: 4 + -3.6 = 0.4 2.1x = 0.4 Divide each side by '2.1'. x = 0.1904761905 Simplifying x = 0.1904761905
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