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Simplifying -6.9(4x + 6) + -1.9(2x + -4) = 0 Reorder the terms: -6.9(6 + 4x) + -1.9(2x + -4) = 0 (6 * -6.9 + 4x * -6.9) + -1.9(2x + -4) = 0 (-41.4 + -27.6x) + -1.9(2x + -4) = 0 Reorder the terms: -41.4 + -27.6x + -1.9(-4 + 2x) = 0 -41.4 + -27.6x + (-4 * -1.9 + 2x * -1.9) = 0 -41.4 + -27.6x + (7.6 + -3.8x) = 0 Reorder the terms: -41.4 + 7.6 + -27.6x + -3.8x = 0 Combine like terms: -41.4 + 7.6 = -33.8 -33.8 + -27.6x + -3.8x = 0 Combine like terms: -27.6x + -3.8x = -31.4x -33.8 + -31.4x = 0 Solving -33.8 + -31.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33.8' to each side of the equation. -33.8 + 33.8 + -31.4x = 0 + 33.8 Combine like terms: -33.8 + 33.8 = 0.0 0.0 + -31.4x = 0 + 33.8 -31.4x = 0 + 33.8 Combine like terms: 0 + 33.8 = 33.8 -31.4x = 33.8 Divide each side by '-31.4'. x = -1.076433121 Simplifying x = -1.076433121
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