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Simplifying 0.6(x + 20) + 0.8(x + -10) = 46 Reorder the terms: 0.6(20 + x) + 0.8(x + -10) = 46 (20 * 0.6 + x * 0.6) + 0.8(x + -10) = 46 (12 + 0.6x) + 0.8(x + -10) = 46 Reorder the terms: 12 + 0.6x + 0.8(-10 + x) = 46 12 + 0.6x + (-10 * 0.8 + x * 0.8) = 46 12 + 0.6x + (-8 + 0.8x) = 46 Reorder the terms: 12 + -8 + 0.6x + 0.8x = 46 Combine like terms: 12 + -8 = 4 4 + 0.6x + 0.8x = 46 Combine like terms: 0.6x + 0.8x = 1.4x 4 + 1.4x = 46 Solving 4 + 1.4x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1.4x = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 1.4x = 46 + -4 1.4x = 46 + -4 Combine like terms: 46 + -4 = 42 1.4x = 42 Divide each side by '1.4'. x = 30 Simplifying x = 30
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