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Simplifying 6x + -29 = -5(-8x + -1) Reorder the terms: -29 + 6x = -5(-8x + -1) Reorder the terms: -29 + 6x = -5(-1 + -8x) -29 + 6x = (-1 * -5 + -8x * -5) -29 + 6x = (5 + 40x) Solving -29 + 6x = 5 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -29 + 6x + -40x = 5 + 40x + -40x Combine like terms: 6x + -40x = -34x -29 + -34x = 5 + 40x + -40x Combine like terms: 40x + -40x = 0 -29 + -34x = 5 + 0 -29 + -34x = 5 Add '29' to each side of the equation. -29 + 29 + -34x = 5 + 29 Combine like terms: -29 + 29 = 0 0 + -34x = 5 + 29 -34x = 5 + 29 Combine like terms: 5 + 29 = 34 -34x = 34 Divide each side by '-34'. x = -1 Simplifying x = -1
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