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Simplifying 1 + -6(x + -6) = 29 + -7x Reorder the terms: 1 + -6(-6 + x) = 29 + -7x 1 + (-6 * -6 + x * -6) = 29 + -7x 1 + (36 + -6x) = 29 + -7x Combine like terms: 1 + 36 = 37 37 + -6x = 29 + -7x Solving 37 + -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. 37 + -6x + 7x = 29 + -7x + 7x Combine like terms: -6x + 7x = 1x 37 + 1x = 29 + -7x + 7x Combine like terms: -7x + 7x = 0 37 + 1x = 29 + 0 37 + 1x = 29 Add '-37' to each side of the equation. 37 + -37 + 1x = 29 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = 29 + -37 1x = 29 + -37 Combine like terms: 29 + -37 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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