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Simplifying 0.75(3x + 6) + -0.25(5x + -24) = 0 Reorder the terms: 0.75(6 + 3x) + -0.25(5x + -24) = 0 (6 * 0.75 + 3x * 0.75) + -0.25(5x + -24) = 0 (4.5 + 2.25x) + -0.25(5x + -24) = 0 Reorder the terms: 4.5 + 2.25x + -0.25(-24 + 5x) = 0 4.5 + 2.25x + (-24 * -0.25 + 5x * -0.25) = 0 4.5 + 2.25x + (6 + -1.25x) = 0 Reorder the terms: 4.5 + 6 + 2.25x + -1.25x = 0 Combine like terms: 4.5 + 6 = 10.5 10.5 + 2.25x + -1.25x = 0 Combine like terms: 2.25x + -1.25x = 1x 10.5 + 1x = 0 Solving 10.5 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + 1x = 0 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 1x = 0 + -10.5 1x = 0 + -10.5 Combine like terms: 0 + -10.5 = -10.5 1x = -10.5 Divide each side by '1'. x = -10.5 Simplifying x = -10.5
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