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Simplifying 7(1 + -6x) = -29 + -6x (1 * 7 + -6x * 7) = -29 + -6x (7 + -42x) = -29 + -6x Solving 7 + -42x = -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. 7 + -42x + 6x = -29 + -6x + 6x Combine like terms: -42x + 6x = -36x 7 + -36x = -29 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + -36x = -29 + 0 7 + -36x = -29 Add '-7' to each side of the equation. 7 + -7 + -36x = -29 + -7 Combine like terms: 7 + -7 = 0 0 + -36x = -29 + -7 -36x = -29 + -7 Combine like terms: -29 + -7 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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