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Simplifying 32(31 + -5.5x) = 11(5x + -10) + 39.4 (31 * 32 + -5.5x * 32) = 11(5x + -10) + 39.4 (992 + -176x) = 11(5x + -10) + 39.4 Reorder the terms: 992 + -176x = 11(-10 + 5x) + 39.4 992 + -176x = (-10 * 11 + 5x * 11) + 39.4 992 + -176x = (-110 + 55x) + 39.4 Reorder the terms: 992 + -176x = -110 + 39.4 + 55x Combine like terms: -110 + 39.4 = -70.6 992 + -176x = -70.6 + 55x Solving 992 + -176x = -70.6 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 992 + -176x + -55x = -70.6 + 55x + -55x Combine like terms: -176x + -55x = -231x 992 + -231x = -70.6 + 55x + -55x Combine like terms: 55x + -55x = 0 992 + -231x = -70.6 + 0 992 + -231x = -70.6 Add '-992' to each side of the equation. 992 + -992 + -231x = -70.6 + -992 Combine like terms: 992 + -992 = 0 0 + -231x = -70.6 + -992 -231x = -70.6 + -992 Combine like terms: -70.6 + -992 = -1062.6 -231x = -1062.6 Divide each side by '-231'. x = 4.6 Simplifying x = 4.6
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