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Simplifying -1.4(-1.2 + -1.3x) = 3.2x + 4.6884 (-1.2 * -1.4 + -1.3x * -1.4) = 3.2x + 4.6884 (1.68 + 1.82x) = 3.2x + 4.6884 Reorder the terms: 1.68 + 1.82x = 4.6884 + 3.2x Solving 1.68 + 1.82x = 4.6884 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 1.68 + 1.82x + -3.2x = 4.6884 + 3.2x + -3.2x Combine like terms: 1.82x + -3.2x = -1.38x 1.68 + -1.38x = 4.6884 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 1.68 + -1.38x = 4.6884 + 0.0 1.68 + -1.38x = 4.6884 Add '-1.68' to each side of the equation. 1.68 + -1.68 + -1.38x = 4.6884 + -1.68 Combine like terms: 1.68 + -1.68 = 0.00 0.00 + -1.38x = 4.6884 + -1.68 -1.38x = 4.6884 + -1.68 Combine like terms: 4.6884 + -1.68 = 3.0084 -1.38x = 3.0084 Divide each side by '-1.38'. x = -2.18 Simplifying x = -2.18
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