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Simplifying 3x + 2.1 + -1.4 = 0.4x + -2.1 Reorder the terms: 2.1 + -1.4 + 3x = 0.4x + -2.1 Combine like terms: 2.1 + -1.4 = 0.7 0.7 + 3x = 0.4x + -2.1 Reorder the terms: 0.7 + 3x = -2.1 + 0.4x Solving 0.7 + 3x = -2.1 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 0.7 + 3x + -0.4x = -2.1 + 0.4x + -0.4x Combine like terms: 3x + -0.4x = 2.6x 0.7 + 2.6x = -2.1 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.7 + 2.6x = -2.1 + 0.0 0.7 + 2.6x = -2.1 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 2.6x = -2.1 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 2.6x = -2.1 + -0.7 2.6x = -2.1 + -0.7 Combine like terms: -2.1 + -0.7 = -2.8 2.6x = -2.8 Divide each side by '2.6'. x = -1.076923077 Simplifying x = -1.076923077
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