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Simplifying 6 + 0.10x = 0.5x + 30 Reorder the terms: 6 + 0.10x = 30 + 0.5x Solving 6 + 0.10x = 30 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6 + 0.10x + -0.5x = 30 + 0.5x + -0.5x Combine like terms: 0.10x + -0.5x = -0.4x 6 + -0.4x = 30 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + -0.4x = 30 + 0.0 6 + -0.4x = 30 Add '-6' to each side of the equation. 6 + -6 + -0.4x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -0.4x = 30 + -6 -0.4x = 30 + -6 Combine like terms: 30 + -6 = 24 -0.4x = 24 Divide each side by '-0.4'. x = -60 Simplifying x = -60
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