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Simplifying -6.9(3x + 6) + -2.5(2x + -4) = 0 Reorder the terms: -6.9(6 + 3x) + -2.5(2x + -4) = 0 (6 * -6.9 + 3x * -6.9) + -2.5(2x + -4) = 0 (-41.4 + -20.7x) + -2.5(2x + -4) = 0 Reorder the terms: -41.4 + -20.7x + -2.5(-4 + 2x) = 0 -41.4 + -20.7x + (-4 * -2.5 + 2x * -2.5) = 0 -41.4 + -20.7x + (10 + -5x) = 0 Reorder the terms: -41.4 + 10 + -20.7x + -5x = 0 Combine like terms: -41.4 + 10 = -31.4 -31.4 + -20.7x + -5x = 0 Combine like terms: -20.7x + -5x = -25.7x -31.4 + -25.7x = 0 Solving -31.4 + -25.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31.4' to each side of the equation. -31.4 + 31.4 + -25.7x = 0 + 31.4 Combine like terms: -31.4 + 31.4 = 0.0 0.0 + -25.7x = 0 + 31.4 -25.7x = 0 + 31.4 Combine like terms: 0 + 31.4 = 31.4 -25.7x = 31.4 Divide each side by '-25.7'. x = -1.221789883 Simplifying x = -1.221789883
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