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Simplifying -6(-7 + -1x) = -8 + 29 + 9x (-7 * -6 + -1x * -6) = -8 + 29 + 9x (42 + 6x) = -8 + 29 + 9x Combine like terms: -8 + 29 = 21 42 + 6x = 21 + 9x Solving 42 + 6x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 42 + 6x + -9x = 21 + 9x + -9x Combine like terms: 6x + -9x = -3x 42 + -3x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + -3x = 21 + 0 42 + -3x = 21 Add '-42' to each side of the equation. 42 + -42 + -3x = 21 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = 21 + -42 -3x = 21 + -42 Combine like terms: 21 + -42 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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