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Simplifying -5x + 1 = -29 + x Reorder the terms: 1 + -5x = -29 + x Solving 1 + -5x = -29 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -5x + -1x = -29 + x + -1x Combine like terms: -5x + -1x = -6x 1 + -6x = -29 + x + -1x Combine like terms: x + -1x = 0 1 + -6x = -29 + 0 1 + -6x = -29 Add '-1' to each side of the equation. 1 + -1 + -6x = -29 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -29 + -1 -6x = -29 + -1 Combine like terms: -29 + -1 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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