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Simplifying 0.55x + 0.045(4 + -1x) = 0.4(-1) 0.55x + (4 * 0.045 + -1x * 0.045) = 0.4(-1) 0.55x + (0.18 + -0.045x) = 0.4(-1) Reorder the terms: 0.18 + 0.55x + -0.045x = 0.4(-1) Combine like terms: 0.55x + -0.045x = 0.505x 0.18 + 0.505x = 0.4(-1) Multiply 0.4 * -1 0.18 + 0.505x = -0.4 Solving 0.18 + 0.505x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18' to each side of the equation. 0.18 + -0.18 + 0.505x = -0.4 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + 0.505x = -0.4 + -0.18 0.505x = -0.4 + -0.18 Combine like terms: -0.4 + -0.18 = -0.58 0.505x = -0.58 Divide each side by '0.505'. x = -1.148514851 Simplifying x = -1.148514851
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