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Simplifying 10(4x + 2) = 3(8 + -1x) + 6 Reorder the terms: 10(2 + 4x) = 3(8 + -1x) + 6 (2 * 10 + 4x * 10) = 3(8 + -1x) + 6 (20 + 40x) = 3(8 + -1x) + 6 20 + 40x = (8 * 3 + -1x * 3) + 6 20 + 40x = (24 + -3x) + 6 Reorder the terms: 20 + 40x = 24 + 6 + -3x Combine like terms: 24 + 6 = 30 20 + 40x = 30 + -3x Solving 20 + 40x = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + 40x + 3x = 30 + -3x + 3x Combine like terms: 40x + 3x = 43x 20 + 43x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 43x = 30 + 0 20 + 43x = 30 Add '-20' to each side of the equation. 20 + -20 + 43x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 43x = 30 + -20 43x = 30 + -20 Combine like terms: 30 + -20 = 10 43x = 10 Divide each side by '43'. x = 0.2325581395 Simplifying x = 0.2325581395
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