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Simplifying -5.5(4x + 6) + -2.4(3x + -5) = 0 Reorder the terms: -5.5(6 + 4x) + -2.4(3x + -5) = 0 (6 * -5.5 + 4x * -5.5) + -2.4(3x + -5) = 0 (-33 + -22x) + -2.4(3x + -5) = 0 Reorder the terms: -33 + -22x + -2.4(-5 + 3x) = 0 -33 + -22x + (-5 * -2.4 + 3x * -2.4) = 0 -33 + -22x + (12 + -7.2x) = 0 Reorder the terms: -33 + 12 + -22x + -7.2x = 0 Combine like terms: -33 + 12 = -21 -21 + -22x + -7.2x = 0 Combine like terms: -22x + -7.2x = -29.2x -21 + -29.2x = 0 Solving -21 + -29.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -29.2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -29.2x = 0 + 21 -29.2x = 0 + 21 Combine like terms: 0 + 21 = 21 -29.2x = 21 Divide each side by '-29.2'. x = -0.7191780822 Simplifying x = -0.7191780822
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