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Simplifying 0.8(x + 70) + 0.4x = 92 Reorder the terms: 0.8(70 + x) + 0.4x = 92 (70 * 0.8 + x * 0.8) + 0.4x = 92 (56 + 0.8x) + 0.4x = 92 Combine like terms: 0.8x + 0.4x = 1.2x 56 + 1.2x = 92 Solving 56 + 1.2x = 92 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 + 1.2x = 92 + -56 Combine like terms: 56 + -56 = 0 0 + 1.2x = 92 + -56 1.2x = 92 + -56 Combine like terms: 92 + -56 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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