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Simplifying 0.8(x + 100) + 0.6x = 129 Reorder the terms: 0.8(100 + x) + 0.6x = 129 (100 * 0.8 + x * 0.8) + 0.6x = 129 (80 + 0.8x) + 0.6x = 129 Combine like terms: 0.8x + 0.6x = 1.4x 80 + 1.4x = 129 Solving 80 + 1.4x = 129 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 1.4x = 129 + -80 Combine like terms: 80 + -80 = 0 0 + 1.4x = 129 + -80 1.4x = 129 + -80 Combine like terms: 129 + -80 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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