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Simplifying 0.8(x + 70) + 0.6x = 105 Reorder the terms: 0.8(70 + x) + 0.6x = 105 (70 * 0.8 + x * 0.8) + 0.6x = 105 (56 + 0.8x) + 0.6x = 105 Combine like terms: 0.8x + 0.6x = 1.4x 56 + 1.4x = 105 Solving 56 + 1.4x = 105 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 + 1.4x = 105 + -56 Combine like terms: 56 + -56 = 0 0 + 1.4x = 105 + -56 1.4x = 105 + -56 Combine like terms: 105 + -56 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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