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Simplifying 0.7(x + 10) + 0.1x = 23 Reorder the terms: 0.7(10 + x) + 0.1x = 23 (10 * 0.7 + x * 0.7) + 0.1x = 23 (7 + 0.7x) + 0.1x = 23 Combine like terms: 0.7x + 0.1x = 0.8x 7 + 0.8x = 23 Solving 7 + 0.8x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 0.8x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 0.8x = 23 + -7 0.8x = 23 + -7 Combine like terms: 23 + -7 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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