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Simplifying -2x + 1 = 5x + -6 Reorder the terms: 1 + -2x = 5x + -6 Reorder the terms: 1 + -2x = -6 + 5x Solving 1 + -2x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -2x + -5x = -6 + 5x + -5x Combine like terms: -2x + -5x = -7x 1 + -7x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -7x = -6 + 0 1 + -7x = -6 Add '-1' to each side of the equation. 1 + -1 + -7x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -6 + -1 -7x = -6 + -1 Combine like terms: -6 + -1 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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