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Simplifying -6.1(4x + 6) + -2.7(2x + -4) = 0 Reorder the terms: -6.1(6 + 4x) + -2.7(2x + -4) = 0 (6 * -6.1 + 4x * -6.1) + -2.7(2x + -4) = 0 (-36.6 + -24.4x) + -2.7(2x + -4) = 0 Reorder the terms: -36.6 + -24.4x + -2.7(-4 + 2x) = 0 -36.6 + -24.4x + (-4 * -2.7 + 2x * -2.7) = 0 -36.6 + -24.4x + (10.8 + -5.4x) = 0 Reorder the terms: -36.6 + 10.8 + -24.4x + -5.4x = 0 Combine like terms: -36.6 + 10.8 = -25.8 -25.8 + -24.4x + -5.4x = 0 Combine like terms: -24.4x + -5.4x = -29.8x -25.8 + -29.8x = 0 Solving -25.8 + -29.8x = 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 + -29.8x = 0 + 25.8 Combine like terms: -25.8 + 25.8 = 0.0 0.0 + -29.8x = 0 + 25.8 -29.8x = 0 + 25.8 Combine like terms: 0 + 25.8 = 25.8 -29.8x = 25.8 Divide each side by '-29.8'. x = -0.8657718121 Simplifying x = -0.8657718121
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