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Simplifying 47 = 35 + -2(x + -4) Reorder the terms: 47 = 35 + -2(-4 + x) 47 = 35 + (-4 * -2 + x * -2) 47 = 35 + (8 + -2x) Combine like terms: 35 + 8 = 43 47 = 43 + -2x Solving 47 = 43 + -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 = 43 + -2x + 2x Combine like terms: -2x + 2x = 0 47 + 2x = 43 + 0 47 + 2x = 43 Add '-47' to each side of the equation. 47 + -47 + 2x = 43 + -47 Combine like terms: 47 + -47 = 0 0 + 2x = 43 + -47 2x = 43 + -47 Combine like terms: 43 + -47 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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