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Simplifying 0.5(-4 + 6x) = 33.3x + 66.6(x + 9) (-4 * 0.5 + 6x * 0.5) = 33.3x + 66.6(x + 9) (-2 + 3x) = 33.3x + 66.6(x + 9) Reorder the terms: -2 + 3x = 33.3x + 66.6(9 + x) -2 + 3x = 33.3x + (9 * 66.6 + x * 66.6) -2 + 3x = 33.3x + (599.4 + 66.6x) Reorder the terms: -2 + 3x = 599.4 + 33.3x + 66.6x Combine like terms: 33.3x + 66.6x = 99.9x -2 + 3x = 599.4 + 99.9x Solving -2 + 3x = 599.4 + 99.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99.9x' to each side of the equation. -2 + 3x + -99.9x = 599.4 + 99.9x + -99.9x Combine like terms: 3x + -99.9x = -96.9x -2 + -96.9x = 599.4 + 99.9x + -99.9x Combine like terms: 99.9x + -99.9x = 0.0 -2 + -96.9x = 599.4 + 0.0 -2 + -96.9x = 599.4 Add '2' to each side of the equation. -2 + 2 + -96.9x = 599.4 + 2 Combine like terms: -2 + 2 = 0 0 + -96.9x = 599.4 + 2 -96.9x = 599.4 + 2 Combine like terms: 599.4 + 2 = 601.4 -96.9x = 601.4 Divide each side by '-96.9'. x = -6.206398349 Simplifying x = -6.206398349
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