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Simplifying -5.8(4x + 6) + -1.8(3x + -5) = 0 Reorder the terms: -5.8(6 + 4x) + -1.8(3x + -5) = 0 (6 * -5.8 + 4x * -5.8) + -1.8(3x + -5) = 0 (-34.8 + -23.2x) + -1.8(3x + -5) = 0 Reorder the terms: -34.8 + -23.2x + -1.8(-5 + 3x) = 0 -34.8 + -23.2x + (-5 * -1.8 + 3x * -1.8) = 0 -34.8 + -23.2x + (9 + -5.4x) = 0 Reorder the terms: -34.8 + 9 + -23.2x + -5.4x = 0 Combine like terms: -34.8 + 9 = -25.8 -25.8 + -23.2x + -5.4x = 0 Combine like terms: -23.2x + -5.4x = -28.6x -25.8 + -28.6x = 0 Solving -25.8 + -28.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25.8' to each side of the equation. -25.8 + 25.8 + -28.6x = 0 + 25.8 Combine like terms: -25.8 + 25.8 = 0.0 0.0 + -28.6x = 0 + 25.8 -28.6x = 0 + 25.8 Combine like terms: 0 + 25.8 = 25.8 -28.6x = 25.8 Divide each side by '-28.6'. x = -0.9020979021 Simplifying x = -0.9020979021
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