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Simplifying 0.2(-3.1x + -2) = -1.1(2x + -3) Reorder the terms: 0.2(-2 + -3.1x) = -1.1(2x + -3) (-2 * 0.2 + -3.1x * 0.2) = -1.1(2x + -3) (-0.4 + -0.62x) = -1.1(2x + -3) Reorder the terms: -0.4 + -0.62x = -1.1(-3 + 2x) -0.4 + -0.62x = (-3 * -1.1 + 2x * -1.1) -0.4 + -0.62x = (3.3 + -2.2x) Solving -0.4 + -0.62x = 3.3 + -2.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.2x' to each side of the equation. -0.4 + -0.62x + 2.2x = 3.3 + -2.2x + 2.2x Combine like terms: -0.62x + 2.2x = 1.58x -0.4 + 1.58x = 3.3 + -2.2x + 2.2x Combine like terms: -2.2x + 2.2x = 0.0 -0.4 + 1.58x = 3.3 + 0.0 -0.4 + 1.58x = 3.3 Add '0.4' to each side of the equation. -0.4 + 0.4 + 1.58x = 3.3 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 1.58x = 3.3 + 0.4 1.58x = 3.3 + 0.4 Combine like terms: 3.3 + 0.4 = 3.7 1.58x = 3.7 Divide each side by '1.58'. x = 2.341772152 Simplifying x = 2.341772152
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