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Simplifying 0.1(x + 74) = 2(2 + -1x) Reorder the terms: 0.1(74 + x) = 2(2 + -1x) (74 * 0.1 + x * 0.1) = 2(2 + -1x) (7.4 + 0.1x) = 2(2 + -1x) 7.4 + 0.1x = (2 * 2 + -1x * 2) 7.4 + 0.1x = (4 + -2x) Solving 7.4 + 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. 7.4 + 0.1x + 2x = 4 + -2x + 2x Combine like terms: 0.1x + 2x = 2.1x 7.4 + 2.1x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 7.4 + 2.1x = 4 + 0 7.4 + 2.1x = 4 Add '-7.4' to each side of the equation. 7.4 + -7.4 + 2.1x = 4 + -7.4 Combine like terms: 7.4 + -7.4 = 0.0 0.0 + 2.1x = 4 + -7.4 2.1x = 4 + -7.4 Combine like terms: 4 + -7.4 = -3.4 2.1x = -3.4 Divide each side by '2.1'. x = -1.619047619 Simplifying x = -1.619047619
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