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Simplifying 47 = 33 + -2(x + -3) Reorder the terms: 47 = 33 + -2(-3 + x) 47 = 33 + (-3 * -2 + x * -2) 47 = 33 + (6 + -2x) Combine like terms: 33 + 6 = 39 47 = 39 + -2x Solving 47 = 39 + -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 = 39 + -2x + 2x Combine like terms: -2x + 2x = 0 47 + 2x = 39 + 0 47 + 2x = 39 Add '-47' to each side of the equation. 47 + -47 + 2x = 39 + -47 Combine like terms: 47 + -47 = 0 0 + 2x = 39 + -47 2x = 39 + -47 Combine like terms: 39 + -47 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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