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Simplifying -6.4(4x + 6) + -2.1(2x + -4) = 0 Reorder the terms: -6.4(6 + 4x) + -2.1(2x + -4) = 0 (6 * -6.4 + 4x * -6.4) + -2.1(2x + -4) = 0 (-38.4 + -25.6x) + -2.1(2x + -4) = 0 Reorder the terms: -38.4 + -25.6x + -2.1(-4 + 2x) = 0 -38.4 + -25.6x + (-4 * -2.1 + 2x * -2.1) = 0 -38.4 + -25.6x + (8.4 + -4.2x) = 0 Reorder the terms: -38.4 + 8.4 + -25.6x + -4.2x = 0 Combine like terms: -38.4 + 8.4 = -30 -30 + -25.6x + -4.2x = 0 Combine like terms: -25.6x + -4.2x = -29.8x -30 + -29.8x = 0 Solving -30 + -29.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -29.8x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -29.8x = 0 + 30 -29.8x = 0 + 30 Combine like terms: 0 + 30 = 30 -29.8x = 30 Divide each side by '-29.8'. x = -1.006711409 Simplifying x = -1.006711409
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