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Simplifying -1x + 3(7 + 8x) = -2x + -1(x + 5) -1x + (7 * 3 + 8x * 3) = -2x + -1(x + 5) -1x + (21 + 24x) = -2x + -1(x + 5) Reorder the terms: 21 + -1x + 24x = -2x + -1(x + 5) Combine like terms: -1x + 24x = 23x 21 + 23x = -2x + -1(x + 5) Reorder the terms: 21 + 23x = -2x + -1(5 + x) 21 + 23x = -2x + (5 * -1 + x * -1) 21 + 23x = -2x + (-5 + -1x) Reorder the terms: 21 + 23x = -5 + -2x + -1x Combine like terms: -2x + -1x = -3x 21 + 23x = -5 + -3x Solving 21 + 23x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 21 + 23x + 3x = -5 + -3x + 3x Combine like terms: 23x + 3x = 26x 21 + 26x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + 26x = -5 + 0 21 + 26x = -5 Add '-21' to each side of the equation. 21 + -21 + 26x = -5 + -21 Combine like terms: 21 + -21 = 0 0 + 26x = -5 + -21 26x = -5 + -21 Combine like terms: -5 + -21 = -26 26x = -26 Divide each side by '26'. x = -1 Simplifying x = -1
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