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Simplifying -1x + -117 = 6x + 58 Reorder the terms: -117 + -1x = 6x + 58 Reorder the terms: -117 + -1x = 58 + 6x Solving -117 + -1x = 58 + 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. -117 + -1x + -6x = 58 + 6x + -6x Combine like terms: -1x + -6x = -7x -117 + -7x = 58 + 6x + -6x Combine like terms: 6x + -6x = 0 -117 + -7x = 58 + 0 -117 + -7x = 58 Add '117' to each side of the equation. -117 + 117 + -7x = 58 + 117 Combine like terms: -117 + 117 = 0 0 + -7x = 58 + 117 -7x = 58 + 117 Combine like terms: 58 + 117 = 175 -7x = 175 Divide each side by '-7'. x = -25 Simplifying x = -25
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