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Simplifying 0.8(x + 50) + 0.6x = 89 Reorder the terms: 0.8(50 + x) + 0.6x = 89 (50 * 0.8 + x * 0.8) + 0.6x = 89 (40 + 0.8x) + 0.6x = 89 Combine like terms: 0.8x + 0.6x = 1.4x 40 + 1.4x = 89 Solving 40 + 1.4x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1.4x = 89 + -40 Combine like terms: 40 + -40 = 0 0 + 1.4x = 89 + -40 1.4x = 89 + -40 Combine like terms: 89 + -40 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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