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Simplifying 0.9x + 10 = 0.7x + 16 Reorder the terms: 10 + 0.9x = 0.7x + 16 Reorder the terms: 10 + 0.9x = 16 + 0.7x Solving 10 + 0.9x = 16 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 10 + 0.9x + -0.7x = 16 + 0.7x + -0.7x Combine like terms: 0.9x + -0.7x = 0.2x 10 + 0.2x = 16 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 10 + 0.2x = 16 + 0.0 10 + 0.2x = 16 Add '-10' to each side of the equation. 10 + -10 + 0.2x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 0.2x = 16 + -10 0.2x = 16 + -10 Combine like terms: 16 + -10 = 6 0.2x = 6 Divide each side by '0.2'. x = 30 Simplifying x = 30
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