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Simplifying 0.9x + -6 = 0.3x + 30 Reorder the terms: -6 + 0.9x = 0.3x + 30 Reorder the terms: -6 + 0.9x = 30 + 0.3x Solving -6 + 0.9x = 30 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -6 + 0.9x + -0.3x = 30 + 0.3x + -0.3x Combine like terms: 0.9x + -0.3x = 0.6x -6 + 0.6x = 30 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -6 + 0.6x = 30 + 0.0 -6 + 0.6x = 30 Add '6' to each side of the equation. -6 + 6 + 0.6x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 0.6x = 30 + 6 0.6x = 30 + 6 Combine like terms: 30 + 6 = 36 0.6x = 36 Divide each side by '0.6'. x = 60 Simplifying x = 60
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