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Simplifying (5.14x + -8.15) + -1(3.3x + 6.5) = 0 Reorder the terms: (-8.15 + 5.14x) + -1(3.3x + 6.5) = 0 Remove parenthesis around (-8.15 + 5.14x) -8.15 + 5.14x + -1(3.3x + 6.5) = 0 Reorder the terms: -8.15 + 5.14x + -1(6.5 + 3.3x) = 0 -8.15 + 5.14x + (6.5 * -1 + 3.3x * -1) = 0 -8.15 + 5.14x + (-6.5 + -3.3x) = 0 Reorder the terms: -8.15 + -6.5 + 5.14x + -3.3x = 0 Combine like terms: -8.15 + -6.5 = -14.65 -14.65 + 5.14x + -3.3x = 0 Combine like terms: 5.14x + -3.3x = 1.84x -14.65 + 1.84x = 0 Solving -14.65 + 1.84x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14.65' to each side of the equation. -14.65 + 14.65 + 1.84x = 0 + 14.65 Combine like terms: -14.65 + 14.65 = 0.00 0.00 + 1.84x = 0 + 14.65 1.84x = 0 + 14.65 Combine like terms: 0 + 14.65 = 14.65 1.84x = 14.65 Divide each side by '1.84'. x = 7.961956522 Simplifying x = 7.961956522
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