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Simplifying 0.80(x + 70) + 0.80x = 120 Reorder the terms: 0.80(70 + x) + 0.80x = 120 (70 * 0.80 + x * 0.80) + 0.80x = 120 (56 + 0.80x) + 0.80x = 120 Combine like terms: 0.80x + 0.80x = 1.6x 56 + 1.6x = 120 Solving 56 + 1.6x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 1.6x = 120 + -56 Combine like terms: 56 + -56 = 0 0 + 1.6x = 120 + -56 1.6x = 120 + -56 Combine like terms: 120 + -56 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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