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Simplifying 35 + 5x = 100 + 8x Solving 35 + 5x = 100 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 5x + -8x = 100 + 8x + -8x Combine like terms: 5x + -8x = -3x 35 + -3x = 100 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -3x = 100 + 0 35 + -3x = 100 Add '-35' to each side of the equation. 35 + -35 + -3x = 100 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = 100 + -35 -3x = 100 + -35 Combine like terms: 100 + -35 = 65 -3x = 65 Divide each side by '-3'. x = -21.66666667 Simplifying x = -21.66666667
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