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Simplifying 47 = 33 + -2(x + -2) Reorder the terms: 47 = 33 + -2(-2 + x) 47 = 33 + (-2 * -2 + x * -2) 47 = 33 + (4 + -2x) Combine like terms: 33 + 4 = 37 47 = 37 + -2x Solving 47 = 37 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 47 + 2x = 37 + -2x + 2x Combine like terms: -2x + 2x = 0 47 + 2x = 37 + 0 47 + 2x = 37 Add '-47' to each side of the equation. 47 + -47 + 2x = 37 + -47 Combine like terms: 47 + -47 = 0 0 + 2x = 37 + -47 2x = 37 + -47 Combine like terms: 37 + -47 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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