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Simplifying -29 + 7x = -6(1 + -5x) -29 + 7x = (1 * -6 + -5x * -6) -29 + 7x = (-6 + 30x) Solving -29 + 7x = -6 + 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 = -6 + 30x + -30x Combine like terms: 7x + -30x = -23x -29 + -23x = -6 + 30x + -30x Combine like terms: 30x + -30x = 0 -29 + -23x = -6 + 0 -29 + -23x = -6 Add '29' to each side of the equation. -29 + 29 + -23x = -6 + 29 Combine like terms: -29 + 29 = 0 0 + -23x = -6 + 29 -23x = -6 + 29 Combine like terms: -6 + 29 = 23 -23x = 23 Divide each side by '-23'. x = -1 Simplifying x = -1
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