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Simplifying 0.7(x + 90) + 0.1x = 79 Reorder the terms: 0.7(90 + x) + 0.1x = 79 (90 * 0.7 + x * 0.7) + 0.1x = 79 (63 + 0.7x) + 0.1x = 79 Combine like terms: 0.7x + 0.1x = 0.8x 63 + 0.8x = 79 Solving 63 + 0.8x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 0.8x = 79 + -63 Combine like terms: 63 + -63 = 0 0 + 0.8x = 79 + -63 0.8x = 79 + -63 Combine like terms: 79 + -63 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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