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Simplifying -5.8(2x + 4) + -2.7(3x + -6) = 0 Reorder the terms: -5.8(4 + 2x) + -2.7(3x + -6) = 0 (4 * -5.8 + 2x * -5.8) + -2.7(3x + -6) = 0 (-23.2 + -11.6x) + -2.7(3x + -6) = 0 Reorder the terms: -23.2 + -11.6x + -2.7(-6 + 3x) = 0 -23.2 + -11.6x + (-6 * -2.7 + 3x * -2.7) = 0 -23.2 + -11.6x + (16.2 + -8.1x) = 0 Reorder the terms: -23.2 + 16.2 + -11.6x + -8.1x = 0 Combine like terms: -23.2 + 16.2 = -7 -7 + -11.6x + -8.1x = 0 Combine like terms: -11.6x + -8.1x = -19.7x -7 + -19.7x = 0 Solving -7 + -19.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -19.7x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -19.7x = 0 + 7 -19.7x = 0 + 7 Combine like terms: 0 + 7 = 7 -19.7x = 7 Divide each side by '-19.7'. x = -0.3553299492 Simplifying x = -0.3553299492
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