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Simplifying -29 + 6x = 55 + -1x Solving -29 + 6x = 55 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -29 + 6x + x = 55 + -1x + x Combine like terms: 6x + x = 7x -29 + 7x = 55 + -1x + x Combine like terms: -1x + x = 0 -29 + 7x = 55 + 0 -29 + 7x = 55 Add '29' to each side of the equation. -29 + 29 + 7x = 55 + 29 Combine like terms: -29 + 29 = 0 0 + 7x = 55 + 29 7x = 55 + 29 Combine like terms: 55 + 29 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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