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Simplifying 1.4 + 0.4x = 2.533 + 1.666x + 0.666 Reorder the terms: 1.4 + 0.4x = 2.533 + 0.666 + 1.666x Combine like terms: 2.533 + 0.666 = 3.199 1.4 + 0.4x = 3.199 + 1.666x Solving 1.4 + 0.4x = 3.199 + 1.666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.666x' to each side of the equation. 1.4 + 0.4x + -1.666x = 3.199 + 1.666x + -1.666x Combine like terms: 0.4x + -1.666x = -1.266x 1.4 + -1.266x = 3.199 + 1.666x + -1.666x Combine like terms: 1.666x + -1.666x = 0.000 1.4 + -1.266x = 3.199 + 0.000 1.4 + -1.266x = 3.199 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -1.266x = 3.199 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1.266x = 3.199 + -1.4 -1.266x = 3.199 + -1.4 Combine like terms: 3.199 + -1.4 = 1.799 -1.266x = 1.799 Divide each side by '-1.266'. x = -1.421011058 Simplifying x = -1.421011058
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