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Simplifying -5.4(2x + 5) + -2.7(3x + -6) = 0 Reorder the terms: -5.4(5 + 2x) + -2.7(3x + -6) = 0 (5 * -5.4 + 2x * -5.4) + -2.7(3x + -6) = 0 (-27 + -10.8x) + -2.7(3x + -6) = 0 Reorder the terms: -27 + -10.8x + -2.7(-6 + 3x) = 0 -27 + -10.8x + (-6 * -2.7 + 3x * -2.7) = 0 -27 + -10.8x + (16.2 + -8.1x) = 0 Reorder the terms: -27 + 16.2 + -10.8x + -8.1x = 0 Combine like terms: -27 + 16.2 = -10.8 -10.8 + -10.8x + -8.1x = 0 Combine like terms: -10.8x + -8.1x = -18.9x -10.8 + -18.9x = 0 Solving -10.8 + -18.9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.8' to each side of the equation. -10.8 + 10.8 + -18.9x = 0 + 10.8 Combine like terms: -10.8 + 10.8 = 0.0 0.0 + -18.9x = 0 + 10.8 -18.9x = 0 + 10.8 Combine like terms: 0 + 10.8 = 10.8 -18.9x = 10.8 Divide each side by '-18.9'. x = -0.5714285714 Simplifying x = -0.5714285714
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