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Simplifying 0.6(9x + -6) = 4x + 10 Reorder the terms: 0.6(-6 + 9x) = 4x + 10 (-6 * 0.6 + 9x * 0.6) = 4x + 10 (-3.6 + 5.4x) = 4x + 10 Reorder the terms: -3.6 + 5.4x = 10 + 4x Solving -3.6 + 5.4x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3.6 + 5.4x + -4x = 10 + 4x + -4x Combine like terms: 5.4x + -4x = 1.4x -3.6 + 1.4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -3.6 + 1.4x = 10 + 0 -3.6 + 1.4x = 10 Add '3.6' to each side of the equation. -3.6 + 3.6 + 1.4x = 10 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1.4x = 10 + 3.6 1.4x = 10 + 3.6 Combine like terms: 10 + 3.6 = 13.6 1.4x = 13.6 Divide each side by '1.4'. x = 9.714285714 Simplifying x = 9.714285714
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