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Simplifying 22 + -1(x + 5) = 7x + -7 Reorder the terms: 22 + -1(5 + x) = 7x + -7 22 + (5 * -1 + x * -1) = 7x + -7 22 + (-5 + -1x) = 7x + -7 Combine like terms: 22 + -5 = 17 17 + -1x = 7x + -7 Reorder the terms: 17 + -1x = -7 + 7x Solving 17 + -1x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + -1x + -7x = -7 + 7x + -7x Combine like terms: -1x + -7x = -8x 17 + -8x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -8x = -7 + 0 17 + -8x = -7 Add '-17' to each side of the equation. 17 + -17 + -8x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = -7 + -17 -8x = -7 + -17 Combine like terms: -7 + -17 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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