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Simplifying -1x + -29 = -1(7x + -7) Reorder the terms: -29 + -1x = -1(7x + -7) Reorder the terms: -29 + -1x = -1(-7 + 7x) -29 + -1x = (-7 * -1 + 7x * -1) -29 + -1x = (7 + -7x) Solving -29 + -1x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -29 + -1x + 7x = 7 + -7x + 7x Combine like terms: -1x + 7x = 6x -29 + 6x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -29 + 6x = 7 + 0 -29 + 6x = 7 Add '29' to each side of the equation. -29 + 29 + 6x = 7 + 29 Combine like terms: -29 + 29 = 0 0 + 6x = 7 + 29 6x = 7 + 29 Combine like terms: 7 + 29 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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