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Simplifying 1.5(4x + -6) + 2.5(6x + -4) = 0 Reorder the terms: 1.5(-6 + 4x) + 2.5(6x + -4) = 0 (-6 * 1.5 + 4x * 1.5) + 2.5(6x + -4) = 0 (-9 + 6x) + 2.5(6x + -4) = 0 Reorder the terms: -9 + 6x + 2.5(-4 + 6x) = 0 -9 + 6x + (-4 * 2.5 + 6x * 2.5) = 0 -9 + 6x + (-10 + 15x) = 0 Reorder the terms: -9 + -10 + 6x + 15x = 0 Combine like terms: -9 + -10 = -19 -19 + 6x + 15x = 0 Combine like terms: 6x + 15x = 21x -19 + 21x = 0 Solving -19 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 21x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 21x = 0 + 19 21x = 0 + 19 Combine like terms: 0 + 19 = 19 21x = 19 Divide each side by '21'. x = 0.9047619048 Simplifying x = 0.9047619048
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