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Simplifying (1.3x + 2.4) + -1(6.1x + -3.2) = 0 Reorder the terms: (2.4 + 1.3x) + -1(6.1x + -3.2) = 0 Remove parenthesis around (2.4 + 1.3x) 2.4 + 1.3x + -1(6.1x + -3.2) = 0 Reorder the terms: 2.4 + 1.3x + -1(-3.2 + 6.1x) = 0 2.4 + 1.3x + (-3.2 * -1 + 6.1x * -1) = 0 2.4 + 1.3x + (3.2 + -6.1x) = 0 Reorder the terms: 2.4 + 3.2 + 1.3x + -6.1x = 0 Combine like terms: 2.4 + 3.2 = 5.6 5.6 + 1.3x + -6.1x = 0 Combine like terms: 1.3x + -6.1x = -4.8x 5.6 + -4.8x = 0 Solving 5.6 + -4.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.6' to each side of the equation. 5.6 + -5.6 + -4.8x = 0 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -4.8x = 0 + -5.6 -4.8x = 0 + -5.6 Combine like terms: 0 + -5.6 = -5.6 -4.8x = -5.6 Divide each side by '-4.8'. x = 1.166666667 Simplifying x = 1.166666667
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