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Simplifying 0.4x + 1.18 = 3.1(2 + -0.01x) Reorder the terms: 1.18 + 0.4x = 3.1(2 + -0.01x) 1.18 + 0.4x = (2 * 3.1 + -0.01x * 3.1) 1.18 + 0.4x = (6.2 + -0.031x) Solving 1.18 + 0.4x = 6.2 + -0.031x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.031x' to each side of the equation. 1.18 + 0.4x + 0.031x = 6.2 + -0.031x + 0.031x Combine like terms: 0.4x + 0.031x = 0.431x 1.18 + 0.431x = 6.2 + -0.031x + 0.031x Combine like terms: -0.031x + 0.031x = 0.000 1.18 + 0.431x = 6.2 + 0.000 1.18 + 0.431x = 6.2 Add '-1.18' to each side of the equation. 1.18 + -1.18 + 0.431x = 6.2 + -1.18 Combine like terms: 1.18 + -1.18 = 0.00 0.00 + 0.431x = 6.2 + -1.18 0.431x = 6.2 + -1.18 Combine like terms: 6.2 + -1.18 = 5.02 0.431x = 5.02 Divide each side by '0.431'. x = 11.64733179 Simplifying x = 11.64733179
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