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Simplifying 3(x + 4) = 2 + -5(4x + 1) Reorder the terms: 3(4 + x) = 2 + -5(4x + 1) (4 * 3 + x * 3) = 2 + -5(4x + 1) (12 + 3x) = 2 + -5(4x + 1) Reorder the terms: 12 + 3x = 2 + -5(1 + 4x) 12 + 3x = 2 + (1 * -5 + 4x * -5) 12 + 3x = 2 + (-5 + -20x) Combine like terms: 2 + -5 = -3 12 + 3x = -3 + -20x Solving 12 + 3x = -3 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 12 + 3x + 20x = -3 + -20x + 20x Combine like terms: 3x + 20x = 23x 12 + 23x = -3 + -20x + 20x Combine like terms: -20x + 20x = 0 12 + 23x = -3 + 0 12 + 23x = -3 Add '-12' to each side of the equation. 12 + -12 + 23x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 23x = -3 + -12 23x = -3 + -12 Combine like terms: -3 + -12 = -15 23x = -15 Divide each side by '23'. x = -0.652173913 Simplifying x = -0.652173913
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