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Simplifying 47 = 7 + -1(x + -6) Reorder the terms: 47 = 7 + -1(-6 + x) 47 = 7 + (-6 * -1 + x * -1) 47 = 7 + (6 + -1x) Combine like terms: 7 + 6 = 13 47 = 13 + -1x Solving 47 = 13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 47 + x = 13 + -1x + x Combine like terms: -1x + x = 0 47 + x = 13 + 0 47 + x = 13 Add '-47' to each side of the equation. 47 + -47 + x = 13 + -47 Combine like terms: 47 + -47 = 0 0 + x = 13 + -47 x = 13 + -47 Combine like terms: 13 + -47 = -34 x = -34 Simplifying x = -34
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