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Simplifying x + 1.4 + 3x + -0.4 + 2x + 0.1 = 180 Reorder the terms: 1.4 + -0.4 + 0.1 + x + 3x + 2x = 180 Combine like terms: 1.4 + -0.4 = 1 1 + 0.1 + x + 3x + 2x = 180 Combine like terms: 1 + 0.1 = 1.1 1.1 + x + 3x + 2x = 180 Combine like terms: x + 3x = 4x 1.1 + 4x + 2x = 180 Combine like terms: 4x + 2x = 6x 1.1 + 6x = 180 Solving 1.1 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1' to each side of the equation. 1.1 + -1.1 + 6x = 180 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 6x = 180 + -1.1 6x = 180 + -1.1 Combine like terms: 180 + -1.1 = 178.9 6x = 178.9 Divide each side by '6'. x = 29.81666667 Simplifying x = 29.81666667
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