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Simplifying -1x + 5 = 7x + 37 Reorder the terms: 5 + -1x = 7x + 37 Reorder the terms: 5 + -1x = 37 + 7x Solving 5 + -1x = 37 + 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. 5 + -1x + -7x = 37 + 7x + -7x Combine like terms: -1x + -7x = -8x 5 + -8x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -8x = 37 + 0 5 + -8x = 37 Add '-5' to each side of the equation. 5 + -5 + -8x = 37 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 37 + -5 -8x = 37 + -5 Combine like terms: 37 + -5 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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