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Simplifying 21 + -47 = 5(x + -1) + -6 Combine like terms: 21 + -47 = -26 -26 = 5(x + -1) + -6 Reorder the terms: -26 = 5(-1 + x) + -6 -26 = (-1 * 5 + x * 5) + -6 -26 = (-5 + 5x) + -6 Reorder the terms: -26 = -5 + -6 + 5x Combine like terms: -5 + -6 = -11 -26 = -11 + 5x Solving -26 = -11 + 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. -26 + -5x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -26 + -5x = -11 + 0 -26 + -5x = -11 Add '26' to each side of the equation. -26 + 26 + -5x = -11 + 26 Combine like terms: -26 + 26 = 0 0 + -5x = -11 + 26 -5x = -11 + 26 Combine like terms: -11 + 26 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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