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Simplifying 61 + -1x = -9x + 101 Reorder the terms: 61 + -1x = 101 + -9x Solving 61 + -1x = 101 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 61 + -1x + 9x = 101 + -9x + 9x Combine like terms: -1x + 9x = 8x 61 + 8x = 101 + -9x + 9x Combine like terms: -9x + 9x = 0 61 + 8x = 101 + 0 61 + 8x = 101 Add '-61' to each side of the equation. 61 + -61 + 8x = 101 + -61 Combine like terms: 61 + -61 = 0 0 + 8x = 101 + -61 8x = 101 + -61 Combine like terms: 101 + -61 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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