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Simplifying -5.5(2x + 5) + -2.9(4x + -6) = 0 Reorder the terms: -5.5(5 + 2x) + -2.9(4x + -6) = 0 (5 * -5.5 + 2x * -5.5) + -2.9(4x + -6) = 0 (-27.5 + -11x) + -2.9(4x + -6) = 0 Reorder the terms: -27.5 + -11x + -2.9(-6 + 4x) = 0 -27.5 + -11x + (-6 * -2.9 + 4x * -2.9) = 0 -27.5 + -11x + (17.4 + -11.6x) = 0 Reorder the terms: -27.5 + 17.4 + -11x + -11.6x = 0 Combine like terms: -27.5 + 17.4 = -10.1 -10.1 + -11x + -11.6x = 0 Combine like terms: -11x + -11.6x = -22.6x -10.1 + -22.6x = 0 Solving -10.1 + -22.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.1' to each side of the equation. -10.1 + 10.1 + -22.6x = 0 + 10.1 Combine like terms: -10.1 + 10.1 = 0.0 0.0 + -22.6x = 0 + 10.1 -22.6x = 0 + 10.1 Combine like terms: 0 + 10.1 = 10.1 -22.6x = 10.1 Divide each side by '-22.6'. x = -0.4469026549 Simplifying x = -0.4469026549
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