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Simplifying 47 = 5 + -3(4x + -2) Reorder the terms: 47 = 5 + -3(-2 + 4x) 47 = 5 + (-2 * -3 + 4x * -3) 47 = 5 + (6 + -12x) Combine like terms: 5 + 6 = 11 47 = 11 + -12x Solving 47 = 11 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 47 + 12x = 11 + -12x + 12x Combine like terms: -12x + 12x = 0 47 + 12x = 11 + 0 47 + 12x = 11 Add '-47' to each side of the equation. 47 + -47 + 12x = 11 + -47 Combine like terms: 47 + -47 = 0 0 + 12x = 11 + -47 12x = 11 + -47 Combine like terms: 11 + -47 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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