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Simplifying 0.8x + 0.1(x + 70) = 7.9 Reorder the terms: 0.8x + 0.1(70 + x) = 7.9 0.8x + (70 * 0.1 + x * 0.1) = 7.9 0.8x + (7 + 0.1x) = 7.9 Reorder the terms: 7 + 0.8x + 0.1x = 7.9 Combine like terms: 0.8x + 0.1x = 0.9x 7 + 0.9x = 7.9 Solving 7 + 0.9x = 7.9 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 + 0.9x = 7.9 + -7 Combine like terms: 7 + -7 = 0 0 + 0.9x = 7.9 + -7 0.9x = 7.9 + -7 Combine like terms: 7.9 + -7 = 0.9 0.9x = 0.9 Divide each side by '0.9'. x = 1 Simplifying x = 1
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