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Simplifying 6x + 100 = 9x + 1 Reorder the terms: 100 + 6x = 9x + 1 Reorder the terms: 100 + 6x = 1 + 9x Solving 100 + 6x = 1 + 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. 100 + 6x + -9x = 1 + 9x + -9x Combine like terms: 6x + -9x = -3x 100 + -3x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 100 + -3x = 1 + 0 100 + -3x = 1 Add '-100' to each side of the equation. 100 + -100 + -3x = 1 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = 1 + -100 -3x = 1 + -100 Combine like terms: 1 + -100 = -99 -3x = -99 Divide each side by '-3'. x = 33 Simplifying x = 33
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