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Simplifying 7x + -29 = -6(x + -6) Reorder the terms: -29 + 7x = -6(x + -6) Reorder the terms: -29 + 7x = -6(-6 + x) -29 + 7x = (-6 * -6 + x * -6) -29 + 7x = (36 + -6x) Solving -29 + 7x = 36 + -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. -29 + 7x + 6x = 36 + -6x + 6x Combine like terms: 7x + 6x = 13x -29 + 13x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 -29 + 13x = 36 + 0 -29 + 13x = 36 Add '29' to each side of the equation. -29 + 29 + 13x = 36 + 29 Combine like terms: -29 + 29 = 0 0 + 13x = 36 + 29 13x = 36 + 29 Combine like terms: 36 + 29 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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