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Simplifying -7(3x + 8) = -29 + 6x Reorder the terms: -7(8 + 3x) = -29 + 6x (8 * -7 + 3x * -7) = -29 + 6x (-56 + -21x) = -29 + 6x Solving -56 + -21x = -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. -56 + -21x + -6x = -29 + 6x + -6x Combine like terms: -21x + -6x = -27x -56 + -27x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + -27x = -29 + 0 -56 + -27x = -29 Add '56' to each side of the equation. -56 + 56 + -27x = -29 + 56 Combine like terms: -56 + 56 = 0 0 + -27x = -29 + 56 -27x = -29 + 56 Combine like terms: -29 + 56 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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