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Simplifying 10x + 100 = 7x + 35 Reorder the terms: 100 + 10x = 7x + 35 Reorder the terms: 100 + 10x = 35 + 7x Solving 100 + 10x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 100 + 10x + -7x = 35 + 7x + -7x Combine like terms: 10x + -7x = 3x 100 + 3x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 100 + 3x = 35 + 0 100 + 3x = 35 Add '-100' to each side of the equation. 100 + -100 + 3x = 35 + -100 Combine like terms: 100 + -100 = 0 0 + 3x = 35 + -100 3x = 35 + -100 Combine like terms: 35 + -100 = -65 3x = -65 Divide each side by '3'. x = -21.66666667 Simplifying x = -21.66666667
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