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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 = 0.369x 1.18 + 0.369x = -6.2 + 0.031x + -0.031x Combine like terms: 0.031x + -0.031x = 0.000 1.18 + 0.369x = -6.2 + 0.000 1.18 + 0.369x = -6.2 Add '-1.18' to each side of the equation. 1.18 + -1.18 + 0.369x = -6.2 + -1.18 Combine like terms: 1.18 + -1.18 = 0.00 0.00 + 0.369x = -6.2 + -1.18 0.369x = -6.2 + -1.18 Combine like terms: -6.2 + -1.18 = -7.38 0.369x = -7.38 Divide each side by '0.369'. x = -20 Simplifying x = -20
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