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Simplifying 6(x + 20) + 0.8(x + -10) = 46 Reorder the terms: 6(20 + x) + 0.8(x + -10) = 46 (20 * 6 + x * 6) + 0.8(x + -10) = 46 (120 + 6x) + 0.8(x + -10) = 46 Reorder the terms: 120 + 6x + 0.8(-10 + x) = 46 120 + 6x + (-10 * 0.8 + x * 0.8) = 46 120 + 6x + (-8 + 0.8x) = 46 Reorder the terms: 120 + -8 + 6x + 0.8x = 46 Combine like terms: 120 + -8 = 112 112 + 6x + 0.8x = 46 Combine like terms: 6x + 0.8x = 6.8x 112 + 6.8x = 46 Solving 112 + 6.8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + 6.8x = 46 + -112 Combine like terms: 112 + -112 = 0 0 + 6.8x = 46 + -112 6.8x = 46 + -112 Combine like terms: 46 + -112 = -66 6.8x = -66 Divide each side by '6.8'. x = -9.705882353 Simplifying x = -9.705882353
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