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Simplifying 101 + -6x = 10x + 1 Reorder the terms: 101 + -6x = 1 + 10x Solving 101 + -6x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 101 + -6x + -10x = 1 + 10x + -10x Combine like terms: -6x + -10x = -16x 101 + -16x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 101 + -16x = 1 + 0 101 + -16x = 1 Add '-101' to each side of the equation. 101 + -101 + -16x = 1 + -101 Combine like terms: 101 + -101 = 0 0 + -16x = 1 + -101 -16x = 1 + -101 Combine like terms: 1 + -101 = -100 -16x = -100 Divide each side by '-16'. x = 6.25 Simplifying x = 6.25
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