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Simplifying 1(16 + -1x) = -24(x + 7) (16 * 1 + -1x * 1) = -24(x + 7) (16 + -1x) = -24(x + 7) Reorder the terms: 16 + -1x = -24(7 + x) 16 + -1x = (7 * -24 + x * -24) 16 + -1x = (-168 + -24x) Solving 16 + -1x = -168 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 16 + -1x + 24x = -168 + -24x + 24x Combine like terms: -1x + 24x = 23x 16 + 23x = -168 + -24x + 24x Combine like terms: -24x + 24x = 0 16 + 23x = -168 + 0 16 + 23x = -168 Add '-16' to each side of the equation. 16 + -16 + 23x = -168 + -16 Combine like terms: 16 + -16 = 0 0 + 23x = -168 + -16 23x = -168 + -16 Combine like terms: -168 + -16 = -184 23x = -184 Divide each side by '23'. x = -8 Simplifying x = -8
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