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Simplifying 22 + -1(x + 5) = 5x + -7 Reorder the terms: 22 + -1(5 + x) = 5x + -7 22 + (5 * -1 + x * -1) = 5x + -7 22 + (-5 + -1x) = 5x + -7 Combine like terms: 22 + -5 = 17 17 + -1x = 5x + -7 Reorder the terms: 17 + -1x = -7 + 5x Solving 17 + -1x = -7 + 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. 17 + -1x + -5x = -7 + 5x + -5x Combine like terms: -1x + -5x = -6x 17 + -6x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -6x = -7 + 0 17 + -6x = -7 Add '-17' to each side of the equation. 17 + -17 + -6x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = -7 + -17 -6x = -7 + -17 Combine like terms: -7 + -17 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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