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Simplifying 6 + 0.10x = 0.15x + 30 Reorder the terms: 6 + 0.10x = 30 + 0.15x Solving 6 + 0.10x = 30 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 6 + 0.10x + -0.15x = 30 + 0.15x + -0.15x Combine like terms: 0.10x + -0.15x = -0.05x 6 + -0.05x = 30 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 6 + -0.05x = 30 + 0.00 6 + -0.05x = 30 Add '-6' to each side of the equation. 6 + -6 + -0.05x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -0.05x = 30 + -6 -0.05x = 30 + -6 Combine like terms: 30 + -6 = 24 -0.05x = 24 Divide each side by '-0.05'. x = -480 Simplifying x = -480
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