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Simplifying -1(x + 6) = 29 + -6x Reorder the terms: -1(6 + x) = 29 + -6x (6 * -1 + x * -1) = 29 + -6x (-6 + -1x) = 29 + -6x Solving -6 + -1x = 29 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + -1x + 6x = 29 + -6x + 6x Combine like terms: -1x + 6x = 5x -6 + 5x = 29 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 5x = 29 + 0 -6 + 5x = 29 Add '6' to each side of the equation. -6 + 6 + 5x = 29 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 29 + 6 5x = 29 + 6 Combine like terms: 29 + 6 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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