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Simplifying 2.1(x + 2) + -3.1 = -1.3(x + 2) Reorder the terms: 2.1(2 + x) + -3.1 = -1.3(x + 2) (2 * 2.1 + x * 2.1) + -3.1 = -1.3(x + 2) (4.2 + 2.1x) + -3.1 = -1.3(x + 2) Reorder the terms: 4.2 + -3.1 + 2.1x = -1.3(x + 2) Combine like terms: 4.2 + -3.1 = 1.1 1.1 + 2.1x = -1.3(x + 2) Reorder the terms: 1.1 + 2.1x = -1.3(2 + x) 1.1 + 2.1x = (2 * -1.3 + x * -1.3) 1.1 + 2.1x = (-2.6 + -1.3x) Solving 1.1 + 2.1x = -2.6 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 1.1 + 2.1x + 1.3x = -2.6 + -1.3x + 1.3x Combine like terms: 2.1x + 1.3x = 3.4x 1.1 + 3.4x = -2.6 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 1.1 + 3.4x = -2.6 + 0.0 1.1 + 3.4x = -2.6 Add '-1.1' to each side of the equation. 1.1 + -1.1 + 3.4x = -2.6 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 3.4x = -2.6 + -1.1 3.4x = -2.6 + -1.1 Combine like terms: -2.6 + -1.1 = -3.7 3.4x = -3.7 Divide each side by '3.4'. x = -1.088235294 Simplifying x = -1.088235294
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