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Simplifying -1x + 9 = -61 + 6x Reorder the terms: 9 + -1x = -61 + 6x Solving 9 + -1x = -61 + 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. 9 + -1x + -6x = -61 + 6x + -6x Combine like terms: -1x + -6x = -7x 9 + -7x = -61 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -7x = -61 + 0 9 + -7x = -61 Add '-9' to each side of the equation. 9 + -9 + -7x = -61 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -61 + -9 -7x = -61 + -9 Combine like terms: -61 + -9 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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