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Simplifying 1.4x + -3.1 = 0.2(x + -27.5) Reorder the terms: -3.1 + 1.4x = 0.2(x + -27.5) Reorder the terms: -3.1 + 1.4x = 0.2(-27.5 + x) -3.1 + 1.4x = (-27.5 * 0.2 + x * 0.2) -3.1 + 1.4x = (-5.5 + 0.2x) Solving -3.1 + 1.4x = -5.5 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -3.1 + 1.4x + -0.2x = -5.5 + 0.2x + -0.2x Combine like terms: 1.4x + -0.2x = 1.2x -3.1 + 1.2x = -5.5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -3.1 + 1.2x = -5.5 + 0.0 -3.1 + 1.2x = -5.5 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1.2x = -5.5 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1.2x = -5.5 + 3.1 1.2x = -5.5 + 3.1 Combine like terms: -5.5 + 3.1 = -2.4 1.2x = -2.4 Divide each side by '1.2'. x = -2 Simplifying x = -2
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