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Simplifying -1(x + -6) = 24 + -7x Reorder the terms: -1(-6 + x) = 24 + -7x (-6 * -1 + x * -1) = 24 + -7x (6 + -1x) = 24 + -7x Solving 6 + -1x = 24 + -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. 6 + -1x + 7x = 24 + -7x + 7x Combine like terms: -1x + 7x = 6x 6 + 6x = 24 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 6x = 24 + 0 6 + 6x = 24 Add '-6' to each side of the equation. 6 + -6 + 6x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 24 + -6 6x = 24 + -6 Combine like terms: 24 + -6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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