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Simplifying 0.8(x + 10) + 0.6x = 57 Reorder the terms: 0.8(10 + x) + 0.6x = 57 (10 * 0.8 + x * 0.8) + 0.6x = 57 (8 + 0.8x) + 0.6x = 57 Combine like terms: 0.8x + 0.6x = 1.4x 8 + 1.4x = 57 Solving 8 + 1.4x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1.4x = 57 + -8 Combine like terms: 8 + -8 = 0 0 + 1.4x = 57 + -8 1.4x = 57 + -8 Combine like terms: 57 + -8 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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