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Simplifying 0.4x + 1.18 = -3(2 + -0.01x) Reorder the terms: 1.18 + 0.4x = -3(2 + -0.01x) 1.18 + 0.4x = (2 * -3 + -0.01x * -3) 1.18 + 0.4x = (-6 + 0.03x) Solving 1.18 + 0.4x = -6 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 1.18 + 0.4x + -0.03x = -6 + 0.03x + -0.03x Combine like terms: 0.4x + -0.03x = 0.37x 1.18 + 0.37x = -6 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 1.18 + 0.37x = -6 + 0.00 1.18 + 0.37x = -6 Add '-1.18' to each side of the equation. 1.18 + -1.18 + 0.37x = -6 + -1.18 Combine like terms: 1.18 + -1.18 = 0.00 0.00 + 0.37x = -6 + -1.18 0.37x = -6 + -1.18 Combine like terms: -6 + -1.18 = -7.18 0.37x = -7.18 Divide each side by '0.37'. x = -19.40540541 Simplifying x = -19.40540541
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