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Simplifying -1x + 1 = -27 + 6x Reorder the terms: 1 + -1x = -27 + 6x Solving 1 + -1x = -27 + 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. 1 + -1x + -6x = -27 + 6x + -6x Combine like terms: -1x + -6x = -7x 1 + -7x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -7x = -27 + 0 1 + -7x = -27 Add '-1' to each side of the equation. 1 + -1 + -7x = -27 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -27 + -1 -7x = -27 + -1 Combine like terms: -27 + -1 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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