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Simplifying 47 = 5x + -1(7 + -4x) 47 = 5x + (7 * -1 + -4x * -1) 47 = 5x + (-7 + 4x) Reorder the terms: 47 = -7 + 5x + 4x Combine like terms: 5x + 4x = 9x 47 = -7 + 9x Solving 47 = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 47 + -9x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 47 + -9x = -7 + 0 47 + -9x = -7 Add '-47' to each side of the equation. 47 + -47 + -9x = -7 + -47 Combine like terms: 47 + -47 = 0 0 + -9x = -7 + -47 -9x = -7 + -47 Combine like terms: -7 + -47 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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