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Simplifying 10(4x + 2) = 3(8 + -1x) + 6(x + 1) Reorder the terms: 10(2 + 4x) = 3(8 + -1x) + 6(x + 1) (2 * 10 + 4x * 10) = 3(8 + -1x) + 6(x + 1) (20 + 40x) = 3(8 + -1x) + 6(x + 1) 20 + 40x = (8 * 3 + -1x * 3) + 6(x + 1) 20 + 40x = (24 + -3x) + 6(x + 1) Reorder the terms: 20 + 40x = 24 + -3x + 6(1 + x) 20 + 40x = 24 + -3x + (1 * 6 + x * 6) 20 + 40x = 24 + -3x + (6 + 6x) Reorder the terms: 20 + 40x = 24 + 6 + -3x + 6x Combine like terms: 24 + 6 = 30 20 + 40x = 30 + -3x + 6x Combine like terms: -3x + 6x = 3x 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 = 37x 20 + 37x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 37x = 30 + 0 20 + 37x = 30 Add '-20' to each side of the equation. 20 + -20 + 37x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 37x = 30 + -20 37x = 30 + -20 Combine like terms: 30 + -20 = 10 37x = 10 Divide each side by '37'. x = 0.2702702703 Simplifying x = 0.2702702703
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