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Simplifying -29 + -7x = -5(6x + -8) Reorder the terms: -29 + -7x = -5(-8 + 6x) -29 + -7x = (-8 * -5 + 6x * -5) -29 + -7x = (40 + -30x) Solving -29 + -7x = 40 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -29 + -7x + 30x = 40 + -30x + 30x Combine like terms: -7x + 30x = 23x -29 + 23x = 40 + -30x + 30x Combine like terms: -30x + 30x = 0 -29 + 23x = 40 + 0 -29 + 23x = 40 Add '29' to each side of the equation. -29 + 29 + 23x = 40 + 29 Combine like terms: -29 + 29 = 0 0 + 23x = 40 + 29 23x = 40 + 29 Combine like terms: 40 + 29 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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