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Simplifying -6(x + 1) + -17 = 21 + 4 Reorder the terms: -6(1 + x) + -17 = 21 + 4 (1 * -6 + x * -6) + -17 = 21 + 4 (-6 + -6x) + -17 = 21 + 4 Reorder the terms: -6 + -17 + -6x = 21 + 4 Combine like terms: -6 + -17 = -23 -23 + -6x = 21 + 4 Combine like terms: 21 + 4 = 25 -23 + -6x = 25 Solving -23 + -6x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -6x = 25 + 23 Combine like terms: -23 + 23 = 0 0 + -6x = 25 + 23 -6x = 25 + 23 Combine like terms: 25 + 23 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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