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Simplifying (9.1x + -0.3) + -1(3.5x + -1.7) = 0 Reorder the terms: (-0.3 + 9.1x) + -1(3.5x + -1.7) = 0 Remove parenthesis around (-0.3 + 9.1x) -0.3 + 9.1x + -1(3.5x + -1.7) = 0 Reorder the terms: -0.3 + 9.1x + -1(-1.7 + 3.5x) = 0 -0.3 + 9.1x + (-1.7 * -1 + 3.5x * -1) = 0 -0.3 + 9.1x + (1.7 + -3.5x) = 0 Reorder the terms: -0.3 + 1.7 + 9.1x + -3.5x = 0 Combine like terms: -0.3 + 1.7 = 1.4 1.4 + 9.1x + -3.5x = 0 Combine like terms: 9.1x + -3.5x = 5.6x 1.4 + 5.6x = 0 Solving 1.4 + 5.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + 5.6x = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 5.6x = 0 + -1.4 5.6x = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 5.6x = -1.4 Divide each side by '5.6'. x = -0.25 Simplifying x = -0.25
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