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Simplifying 6(x + -6) = 29 + -7x Reorder the terms: 6(-6 + x) = 29 + -7x (-6 * 6 + x * 6) = 29 + -7x (-36 + 6x) = 29 + -7x Solving -36 + 6x = 29 + -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. -36 + 6x + 7x = 29 + -7x + 7x Combine like terms: 6x + 7x = 13x -36 + 13x = 29 + -7x + 7x Combine like terms: -7x + 7x = 0 -36 + 13x = 29 + 0 -36 + 13x = 29 Add '36' to each side of the equation. -36 + 36 + 13x = 29 + 36 Combine like terms: -36 + 36 = 0 0 + 13x = 29 + 36 13x = 29 + 36 Combine like terms: 29 + 36 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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