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Simplifying 20 + -47 = 5(x + -1) + -7 Combine like terms: 20 + -47 = -27 -27 = 5(x + -1) + -7 Reorder the terms: -27 = 5(-1 + x) + -7 -27 = (-1 * 5 + x * 5) + -7 -27 = (-5 + 5x) + -7 Reorder the terms: -27 = -5 + -7 + 5x Combine like terms: -5 + -7 = -12 -27 = -12 + 5x Solving -27 = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + -5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + -5x = -12 + 0 -27 + -5x = -12 Add '27' to each side of the equation. -27 + 27 + -5x = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -5x = -12 + 27 -5x = -12 + 27 Combine like terms: -12 + 27 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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