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Simplifying 0.6(x + 90) + 0.4x = 79 Reorder the terms: 0.6(90 + x) + 0.4x = 79 (90 * 0.6 + x * 0.6) + 0.4x = 79 (54 + 0.6x) + 0.4x = 79 Combine like terms: 0.6x + 0.4x = 1x 54 + 1x = 79 Solving 54 + 1x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 1x = 79 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = 79 + -54 1x = 79 + -54 Combine like terms: 79 + -54 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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